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Finding the Fourth Proportional to 564,900, 847,349.22 and 144,175.86

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Solution

The fourth proportional to 564,900, 847,349.22 and 144,175.86 is: 216,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,900 : 847,349.22 = 144,175.86 : x
  2. Step 2: Convert to fraction form
    564,900/847,349.22 = 144,175.86/x
  3. Step 3: Cross multiply
    564,900x = 847,349.22 × 144,175.86
  4. Step 4: Simplify right side
    564,900x = 122,167,302,513.83
  5. Step 5: Solve for x
    x = 122,167,302,513.83/564,900
  6. Step 6: Final answer
    x = 216,263.59

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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.