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Finding the Fourth Proportional to 522,088.80, 781,966.80 and 428,776.80

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Solution

The fourth proportional to 522,088.80, 781,966.80 and 428,776.80 is: 642,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,088.80 : 781,966.80 = 428,776.80 : x
  2. Step 2: Convert to fraction form
    522,088.80/781,966.80 = 428,776.80/x
  3. Step 3: Cross multiply
    522,088.80x = 781,966.80 × 428,776.80
  4. Step 4: Simplify right side
    522,088.80x = 335,289,222,210.24
  5. Step 5: Solve for x
    x = 335,289,222,210.24/522,088.80
  6. Step 6: Final answer
    x = 642,207.27

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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.