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Finding the Fourth Proportional to 564,919.94, 847,409.07 and 144,199.46

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Solution

The fourth proportional to 564,919.94, 847,409.07 and 144,199.46 is: 216,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,919.94 : 847,409.07 = 144,199.46 : x
  2. Step 2: Convert to fraction form
    564,919.94/847,409.07 = 144,199.46/x
  3. Step 3: Cross multiply
    564,919.94x = 847,409.07 × 144,199.46
  4. Step 4: Simplify right side
    564,919.94x = 122,195,930,293.10
  5. Step 5: Solve for x
    x = 122,195,930,293.10/564,919.94
  6. Step 6: Final answer
    x = 216,306.63

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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.