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Finding the Fourth Proportional to 643,561.40, 965,342.10 and 406,134.20

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Solution

The fourth proportional to 643,561.40, 965,342.10 and 406,134.20 is: 609,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,561.40 : 965,342.10 = 406,134.20 : x
  2. Step 2: Convert to fraction form
    643,561.40/965,342.10 = 406,134.20/x
  3. Step 3: Cross multiply
    643,561.40x = 965,342.10 × 406,134.20
  4. Step 4: Simplify right side
    643,561.40x = 392,058,441,509.82
  5. Step 5: Solve for x
    x = 392,058,441,509.82/643,561.40
  6. Step 6: Final answer
    x = 609,201.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.