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Finding the Fourth Proportional to 564,875.83, 847,320.59 and 165,524.70

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Solution

The fourth proportional to 564,875.83, 847,320.59 and 165,524.70 is: 248,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,875.83 : 847,320.59 = 165,524.70 : x
  2. Step 2: Convert to fraction form
    564,875.83/847,320.59 = 165,524.70/x
  3. Step 3: Cross multiply
    564,875.83x = 847,320.59 × 165,524.70
  4. Step 4: Simplify right side
    564,875.83x = 140,252,481,399.35
  5. Step 5: Solve for x
    x = 140,252,481,399.35/564,875.83
  6. Step 6: Final answer
    x = 248,289.05

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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.