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Finding the Fourth Proportional to 564,923.70, 847,414.70 and 144,203.22

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Solution

The fourth proportional to 564,923.70, 847,414.70 and 144,203.22 is: 216,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,923.70 : 847,414.70 = 144,203.22 : x
  2. Step 2: Convert to fraction form
    564,923.70/847,414.70 = 144,203.22/x
  3. Step 3: Cross multiply
    564,923.70x = 847,414.70 × 144,203.22
  4. Step 4: Simplify right side
    564,923.70x = 122,199,928,415.33
  5. Step 5: Solve for x
    x = 122,199,928,415.33/564,923.70
  6. Step 6: Final answer
    x = 216,312.27

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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.