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Finding the Fourth Proportional to 461,902.14, 637,388.58 and 257,937.12

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Solution

The fourth proportional to 461,902.14, 637,388.58 and 257,937.12 is: 355,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,902.14 : 637,388.58 = 257,937.12 : x
  2. Step 2: Convert to fraction form
    461,902.14/637,388.58 = 257,937.12/x
  3. Step 3: Cross multiply
    461,902.14x = 637,388.58 × 257,937.12
  4. Step 4: Simplify right side
    461,902.14x = 164,406,174,646.09
  5. Step 5: Solve for x
    x = 164,406,174,646.09/461,902.14
  6. Step 6: Final answer
    x = 355,932.91

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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.