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Finding the Fourth Proportional to 564,916.50, 847,373.97 and 144,192.42

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Solution

The fourth proportional to 564,916.50, 847,373.97 and 144,192.42 is: 216,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,916.50 : 847,373.97 = 144,192.42 : x
  2. Step 2: Convert to fraction form
    564,916.50/847,373.97 = 144,192.42/x
  3. Step 3: Cross multiply
    564,916.50x = 847,373.97 × 144,192.42
  4. Step 4: Simplify right side
    564,916.50x = 122,184,903,379.31
  5. Step 5: Solve for x
    x = 122,184,903,379.31/564,916.50
  6. Step 6: Final answer
    x = 216,288.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.