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Finding the Fourth Proportional to 585,285.12, 807,693.60 and 317,013.12

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Solution

The fourth proportional to 585,285.12, 807,693.60 and 317,013.12 is: 437,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,285.12 : 807,693.60 = 317,013.12 : x
  2. Step 2: Convert to fraction form
    585,285.12/807,693.60 = 317,013.12/x
  3. Step 3: Cross multiply
    585,285.12x = 807,693.60 × 317,013.12
  4. Step 4: Simplify right side
    585,285.12x = 256,049,468,140.03
  5. Step 5: Solve for x
    x = 256,049,468,140.03/585,285.12
  6. Step 6: Final answer
    x = 437,478.18

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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.