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Finding the Fourth Proportional to 498,293.80, 747,673.98 and 217,774.60

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Solution

The fourth proportional to 498,293.80, 747,673.98 and 217,774.60 is: 326,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,293.80 : 747,673.98 = 217,774.60 : x
  2. Step 2: Convert to fraction form
    498,293.80/747,673.98 = 217,774.60/x
  3. Step 3: Cross multiply
    498,293.80x = 747,673.98 × 217,774.60
  4. Step 4: Simplify right side
    498,293.80x = 162,824,401,924.91
  5. Step 5: Solve for x
    x = 162,824,401,924.91/498,293.80
  6. Step 6: Final answer
    x = 326,763.85

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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.