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Finding the Fourth Proportional to 564,104.71, 845,361.46 and 311,498.92

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Solution

The fourth proportional to 564,104.71, 845,361.46 and 311,498.92 is: 466,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,104.71 : 845,361.46 = 311,498.92 : x
  2. Step 2: Convert to fraction form
    564,104.71/845,361.46 = 311,498.92/x
  3. Step 3: Cross multiply
    564,104.71x = 845,361.46 × 311,498.92
  4. Step 4: Simplify right side
    564,104.71x = 263,329,178,490.54
  5. Step 5: Solve for x
    x = 263,329,178,490.54/564,104.71
  6. Step 6: Final answer
    x = 466,809.04

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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.