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Finding the Fourth Proportional to 643,577.40, 965,366.10 and 406,150.20

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Solution

The fourth proportional to 643,577.40, 965,366.10 and 406,150.20 is: 609,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,577.40 : 965,366.10 = 406,150.20 : x
  2. Step 2: Convert to fraction form
    643,577.40/965,366.10 = 406,150.20/x
  3. Step 3: Cross multiply
    643,577.40x = 965,366.10 × 406,150.20
  4. Step 4: Simplify right side
    643,577.40x = 392,083,634,588.22
  5. Step 5: Solve for x
    x = 392,083,634,588.22/643,577.40
  6. Step 6: Final answer
    x = 609,225.30

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