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Finding the Fourth Proportional to 434,431.20, 651,646.80 and 392,440.80

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Solution

The fourth proportional to 434,431.20, 651,646.80 and 392,440.80 is: 588,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,431.20 : 651,646.80 = 392,440.80 : x
  2. Step 2: Convert to fraction form
    434,431.20/651,646.80 = 392,440.80/x
  3. Step 3: Cross multiply
    434,431.20x = 651,646.80 × 392,440.80
  4. Step 4: Simplify right side
    434,431.20x = 255,732,791,509.44
  5. Step 5: Solve for x
    x = 255,732,791,509.44/434,431.20
  6. Step 6: Final answer
    x = 588,661.20

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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.