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Finding the Fourth Proportional to 856,470.70, 1,180,026.30 and 565,565.68

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Solution

The fourth proportional to 856,470.70, 1,180,026.30 and 565,565.68 is: 779,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,470.70 : 1,180,026.30 = 565,565.68 : x
  2. Step 2: Convert to fraction form
    856,470.70/1,180,026.30 = 565,565.68/x
  3. Step 3: Cross multiply
    856,470.70x = 1,180,026.30 × 565,565.68
  4. Step 4: Simplify right side
    856,470.70x = 667,382,376,777.38
  5. Step 5: Solve for x
    x = 667,382,376,777.38/856,470.70
  6. Step 6: Final answer
    x = 779,223.83

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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.