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Finding the Fourth Proportional to 411,482.92, 616,663.96 and 231,654.12

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Solution

The fourth proportional to 411,482.92, 616,663.96 and 231,654.12 is: 347,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,482.92 : 616,663.96 = 231,654.12 : x
  2. Step 2: Convert to fraction form
    411,482.92/616,663.96 = 231,654.12/x
  3. Step 3: Cross multiply
    411,482.92x = 616,663.96 × 231,654.12
  4. Step 4: Simplify right side
    411,482.92x = 142,852,746,989.52
  5. Step 5: Solve for x
    x = 142,852,746,989.52/411,482.92
  6. Step 6: Final answer
    x = 347,165.68

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1.5x scale

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.