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Finding the Fourth Proportional to 565,177.62, 847,764.27 and 144,452.82

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Solution

The fourth proportional to 565,177.62, 847,764.27 and 144,452.82 is: 216,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,177.62 : 847,764.27 = 144,452.82 : x
  2. Step 2: Convert to fraction form
    565,177.62/847,764.27 = 144,452.82/x
  3. Step 3: Cross multiply
    565,177.62x = 847,764.27 × 144,452.82
  4. Step 4: Simplify right side
    565,177.62x = 122,461,939,496.74
  5. Step 5: Solve for x
    x = 122,461,939,496.74/565,177.62
  6. Step 6: Final answer
    x = 216,678.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.