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Finding the Fourth Proportional to 472,693.02, 652,318.42 and 257,837.70

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Solution

The fourth proportional to 472,693.02, 652,318.42 and 257,837.70 is: 355,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,693.02 : 652,318.42 = 257,837.70 : x
  2. Step 2: Convert to fraction form
    472,693.02/652,318.42 = 257,837.70/x
  3. Step 3: Cross multiply
    472,693.02x = 652,318.42 × 257,837.70
  4. Step 4: Simplify right side
    472,693.02x = 168,192,281,080.43
  5. Step 5: Solve for x
    x = 168,192,281,080.43/472,693.02
  6. Step 6: Final answer
    x = 355,817.15

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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.