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Finding the Fourth Proportional to 437,720.80, 656,192.40 and 260,039.20

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Solution

The fourth proportional to 437,720.80, 656,192.40 and 260,039.20 is: 389,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,720.80 : 656,192.40 = 260,039.20 : x
  2. Step 2: Convert to fraction form
    437,720.80/656,192.40 = 260,039.20/x
  3. Step 3: Cross multiply
    437,720.80x = 656,192.40 × 260,039.20
  4. Step 4: Simplify right side
    437,720.80x = 170,635,746,742.08
  5. Step 5: Solve for x
    x = 170,635,746,742.08/437,720.80
  6. Step 6: Final answer
    x = 389,827.82

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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.