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Finding the Fourth Proportional to 564,599.80, 847,029.54 and 165,231.16

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Solution

The fourth proportional to 564,599.80, 847,029.54 and 165,231.16 is: 247,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,599.80 : 847,029.54 = 165,231.16 : x
  2. Step 2: Convert to fraction form
    564,599.80/847,029.54 = 165,231.16/x
  3. Step 3: Cross multiply
    564,599.80x = 847,029.54 × 165,231.16
  4. Step 4: Simplify right side
    564,599.80x = 139,955,673,448.47
  5. Step 5: Solve for x
    x = 139,955,673,448.47/564,599.80
  6. Step 6: Final answer
    x = 247,884.74

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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.