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Finding the Fourth Proportional to 564,867.84, 847,301.59 and 165,508.50

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Solution

The fourth proportional to 564,867.84, 847,301.59 and 165,508.50 is: 248,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,867.84 : 847,301.59 = 165,508.50 : x
  2. Step 2: Convert to fraction form
    564,867.84/847,301.59 = 165,508.50/x
  3. Step 3: Cross multiply
    564,867.84x = 847,301.59 × 165,508.50
  4. Step 4: Simplify right side
    564,867.84x = 140,235,614,794.74
  5. Step 5: Solve for x
    x = 140,235,614,794.74/564,867.84
  6. Step 6: Final answer
    x = 248,262.70

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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.