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Finding the Fourth Proportional to 329,877.92, 494,816.87 and 189,547.04

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Solution

The fourth proportional to 329,877.92, 494,816.87 and 189,547.04 is: 284,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,877.92 : 494,816.87 = 189,547.04 : x
  2. Step 2: Convert to fraction form
    329,877.92/494,816.87 = 189,547.04/x
  3. Step 3: Cross multiply
    329,877.92x = 494,816.87 × 189,547.04
  4. Step 4: Simplify right side
    329,877.92x = 93,791,071,050.35
  5. Step 5: Solve for x
    x = 93,791,071,050.35/329,877.92
  6. Step 6: Final answer
    x = 284,320.55

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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.