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Finding the Fourth Proportional to 564,906, 847,358.22 and 144,181.92

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Solution

The fourth proportional to 564,906, 847,358.22 and 144,181.92 is: 216,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,906 : 847,358.22 = 144,181.92 : x
  2. Step 2: Convert to fraction form
    564,906/847,358.22 = 144,181.92/x
  3. Step 3: Cross multiply
    564,906x = 847,358.22 × 144,181.92
  4. Step 4: Simplify right side
    564,906x = 122,173,735,087.38
  5. Step 5: Solve for x
    x = 122,173,735,087.38/564,906
  6. Step 6: Final answer
    x = 216,272.68

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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.