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Finding the Fourth Proportional to 497,217.60, 686,142.14 and 303,949.00

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Solution

The fourth proportional to 497,217.60, 686,142.14 and 303,949.00 is: 419,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,217.60 : 686,142.14 = 303,949.00 : x
  2. Step 2: Convert to fraction form
    497,217.60/686,142.14 = 303,949.00/x
  3. Step 3: Cross multiply
    497,217.60x = 686,142.14 × 303,949.00
  4. Step 4: Simplify right side
    497,217.60x = 208,552,216,355.38
  5. Step 5: Solve for x
    x = 208,552,216,355.38/497,217.60
  6. Step 6: Final answer
    x = 419,438.52

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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.