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Finding the Fourth Proportional to 421,459.40, 632,189.10 and 405,129.80

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Solution

The fourth proportional to 421,459.40, 632,189.10 and 405,129.80 is: 607,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,459.40 : 632,189.10 = 405,129.80 : x
  2. Step 2: Convert to fraction form
    421,459.40/632,189.10 = 405,129.80/x
  3. Step 3: Cross multiply
    421,459.40x = 632,189.10 × 405,129.80
  4. Step 4: Simplify right side
    421,459.40x = 256,118,643,645.18
  5. Step 5: Solve for x
    x = 256,118,643,645.18/421,459.40
  6. Step 6: Final answer
    x = 607,694.70

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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.