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Finding the Fourth Proportional to 524,902.32, 786,169.72 and 243,828.08

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Solution

The fourth proportional to 524,902.32, 786,169.72 and 243,828.08 is: 365,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,902.32 : 786,169.72 = 243,828.08 : x
  2. Step 2: Convert to fraction form
    524,902.32/786,169.72 = 243,828.08/x
  3. Step 3: Cross multiply
    524,902.32x = 786,169.72 × 243,828.08
  4. Step 4: Simplify right side
    524,902.32x = 191,690,253,381.74
  5. Step 5: Solve for x
    x = 191,690,253,381.74/524,902.32
  6. Step 6: Final answer
    x = 365,192.24

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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.