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Finding the Fourth Proportional to 566,691.50, 782,015.90 and 312,036.14

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Solution

The fourth proportional to 566,691.50, 782,015.90 and 312,036.14 is: 430,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,691.50 : 782,015.90 = 312,036.14 : x
  2. Step 2: Convert to fraction form
    566,691.50/782,015.90 = 312,036.14/x
  3. Step 3: Cross multiply
    566,691.50x = 782,015.90 × 312,036.14
  4. Step 4: Simplify right side
    566,691.50x = 244,017,222,854.63
  5. Step 5: Solve for x
    x = 244,017,222,854.63/566,691.50
  6. Step 6: Final answer
    x = 430,599.76

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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.