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Finding the Fourth Proportional to 437,564.60, 656,346.90 and 288,006.20

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Solution

The fourth proportional to 437,564.60, 656,346.90 and 288,006.20 is: 432,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,564.60 : 656,346.90 = 288,006.20 : x
  2. Step 2: Convert to fraction form
    437,564.60/656,346.90 = 288,006.20/x
  3. Step 3: Cross multiply
    437,564.60x = 656,346.90 × 288,006.20
  4. Step 4: Simplify right side
    437,564.60x = 189,031,976,550.78
  5. Step 5: Solve for x
    x = 189,031,976,550.78/437,564.60
  6. Step 6: Final answer
    x = 432,009.30

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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.