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Finding the Fourth Proportional to 532,957.12, 735,410 and 342,228.88

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Solution

The fourth proportional to 532,957.12, 735,410 and 342,228.88 is: 472,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,957.12 : 735,410 = 342,228.88 : x
  2. Step 2: Convert to fraction form
    532,957.12/735,410 = 342,228.88/x
  3. Step 3: Cross multiply
    532,957.12x = 735,410 × 342,228.88
  4. Step 4: Simplify right side
    532,957.12x = 251,678,540,640.80
  5. Step 5: Solve for x
    x = 251,678,540,640.80/532,957.12
  6. Step 6: Final answer
    x = 472,230.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.