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Finding the Fourth Proportional to 477,086.27, 658,384.07 and 259,294.91

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Solution

The fourth proportional to 477,086.27, 658,384.07 and 259,294.91 is: 357,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,086.27 : 658,384.07 = 259,294.91 : x
  2. Step 2: Convert to fraction form
    477,086.27/658,384.07 = 259,294.91/x
  3. Step 3: Cross multiply
    477,086.27x = 658,384.07 × 259,294.91
  4. Step 4: Simplify right side
    477,086.27x = 170,715,633,587.69
  5. Step 5: Solve for x
    x = 170,715,633,587.69/477,086.27
  6. Step 6: Final answer
    x = 357,829.70

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1.5x scale

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.