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Finding the Fourth Proportional to 613,957.12, 847,248.06 and 342,024.64

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Solution

The fourth proportional to 613,957.12, 847,248.06 and 342,024.64 is: 471,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,957.12 : 847,248.06 = 342,024.64 : x
  2. Step 2: Convert to fraction form
    613,957.12/847,248.06 = 342,024.64/x
  3. Step 3: Cross multiply
    613,957.12x = 847,248.06 × 342,024.64
  4. Step 4: Simplify right side
    613,957.12x = 289,779,712,712.20
  5. Step 5: Solve for x
    x = 289,779,712,712.20/613,957.12
  6. Step 6: Final answer
    x = 471,986.89

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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.