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Finding the Fourth Proportional to 564,924.78, 847,386.90 and 144,200.52

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Solution

The fourth proportional to 564,924.78, 847,386.90 and 144,200.52 is: 216,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,924.78 : 847,386.90 = 144,200.52 : x
  2. Step 2: Convert to fraction form
    564,924.78/847,386.90 = 144,200.52/x
  3. Step 3: Cross multiply
    564,924.78x = 847,386.90 × 144,200.52
  4. Step 4: Simplify right side
    564,924.78x = 122,193,631,621.19
  5. Step 5: Solve for x
    x = 122,193,631,621.19/564,924.78
  6. Step 6: Final answer
    x = 216,300.71

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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.