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Finding the Fourth Proportional to 477,123.85, 658,423.53 and 262,259.30

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Solution

The fourth proportional to 477,123.85, 658,423.53 and 262,259.30 is: 361,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,123.85 : 658,423.53 = 262,259.30 : x
  2. Step 2: Convert to fraction form
    477,123.85/658,423.53 = 262,259.30/x
  3. Step 3: Cross multiply
    477,123.85x = 658,423.53 × 262,259.30
  4. Step 4: Simplify right side
    477,123.85x = 172,677,690,789.21
  5. Step 5: Solve for x
    x = 172,677,690,789.21/477,123.85
  6. Step 6: Final answer
    x = 361,913.77

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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.