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Finding the Fourth Proportional to 520,035.29, 780,082.10 and 146,029.13

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Solution

The fourth proportional to 520,035.29, 780,082.10 and 146,029.13 is: 219,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,035.29 : 780,082.10 = 146,029.13 : x
  2. Step 2: Convert to fraction form
    520,035.29/780,082.10 = 146,029.13/x
  3. Step 3: Cross multiply
    520,035.29x = 780,082.10 × 146,029.13
  4. Step 4: Simplify right side
    520,035.29x = 113,914,705,761.02
  5. Step 5: Solve for x
    x = 113,914,705,761.02/520,035.29
  6. Step 6: Final answer
    x = 219,051.88

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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.