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Finding the Fourth Proportional to 257,098.60, 385,647.90 and 217,829.80

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Solution

The fourth proportional to 257,098.60, 385,647.90 and 217,829.80 is: 326,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,098.60 : 385,647.90 = 217,829.80 : x
  2. Step 2: Convert to fraction form
    257,098.60/385,647.90 = 217,829.80/x
  3. Step 3: Cross multiply
    257,098.60x = 385,647.90 × 217,829.80
  4. Step 4: Simplify right side
    257,098.60x = 84,005,604,927.42
  5. Step 5: Solve for x
    x = 84,005,604,927.42/257,098.60
  6. Step 6: Final answer
    x = 326,744.70

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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.