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Finding the Fourth Proportional to 461,882.70, 637,385.67 and 257,927.94

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Solution

The fourth proportional to 461,882.70, 637,385.67 and 257,927.94 is: 355,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,882.70 : 637,385.67 = 257,927.94 : x
  2. Step 2: Convert to fraction form
    461,882.70/637,385.67 = 257,927.94/x
  3. Step 3: Cross multiply
    461,882.70x = 637,385.67 × 257,927.94
  4. Step 4: Simplify right side
    461,882.70x = 164,399,572,848.62
  5. Step 5: Solve for x
    x = 164,399,572,848.62/461,882.70
  6. Step 6: Final answer
    x = 355,933.60

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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.