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Finding the Fourth Proportional to 576,214.73, 864,315.14 and 149,712.81

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Solution

The fourth proportional to 576,214.73, 864,315.14 and 149,712.81 is: 224,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,214.73 : 864,315.14 = 149,712.81 : x
  2. Step 2: Convert to fraction form
    576,214.73/864,315.14 = 149,712.81/x
  3. Step 3: Cross multiply
    576,214.73x = 864,315.14 × 149,712.81
  4. Step 4: Simplify right side
    576,214.73x = 129,399,047,586.38
  5. Step 5: Solve for x
    x = 129,399,047,586.38/576,214.73
  6. Step 6: Final answer
    x = 224,567.41

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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.