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Finding the Fourth Proportional to 498,363.96, 687,697.91 and 277,584.35

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Solution

The fourth proportional to 498,363.96, 687,697.91 and 277,584.35 is: 383,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,363.96 : 687,697.91 = 277,584.35 : x
  2. Step 2: Convert to fraction form
    498,363.96/687,697.91 = 277,584.35/x
  3. Step 3: Cross multiply
    498,363.96x = 687,697.91 × 277,584.35
  4. Step 4: Simplify right side
    498,363.96x = 190,894,177,343.71
  5. Step 5: Solve for x
    x = 190,894,177,343.71/498,363.96
  6. Step 6: Final answer
    x = 383,041.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.