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Finding the Fourth Proportional to 564,933.78, 847,400.40 and 144,209.52

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Solution

The fourth proportional to 564,933.78, 847,400.40 and 144,209.52 is: 216,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,933.78 : 847,400.40 = 144,209.52 : x
  2. Step 2: Convert to fraction form
    564,933.78/847,400.40 = 144,209.52/x
  3. Step 3: Cross multiply
    564,933.78x = 847,400.40 × 144,209.52
  4. Step 4: Simplify right side
    564,933.78x = 122,203,204,931.81
  5. Step 5: Solve for x
    x = 122,203,204,931.81/564,933.78
  6. Step 6: Final answer
    x = 216,314.21

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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.