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Finding the Fourth Proportional to 564,921.44, 847,411.32 and 144,200.96

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Solution

The fourth proportional to 564,921.44, 847,411.32 and 144,200.96 is: 216,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,921.44 : 847,411.32 = 144,200.96 : x
  2. Step 2: Convert to fraction form
    564,921.44/847,411.32 = 144,200.96/x
  3. Step 3: Cross multiply
    564,921.44x = 847,411.32 × 144,200.96
  4. Step 4: Simplify right side
    564,921.44x = 122,197,525,858.87
  5. Step 5: Solve for x
    x = 122,197,525,858.87/564,921.44
  6. Step 6: Final answer
    x = 216,308.88

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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.