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Finding the Fourth Proportional to 659,329.40, 988,562.10 and 259,729.40

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Solution

The fourth proportional to 659,329.40, 988,562.10 and 259,729.40 is: 389,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,329.40 : 988,562.10 = 259,729.40 : x
  2. Step 2: Convert to fraction form
    659,329.40/988,562.10 = 259,729.40/x
  3. Step 3: Cross multiply
    659,329.40x = 988,562.10 × 259,729.40
  4. Step 4: Simplify right side
    659,329.40x = 256,758,641,095.74
  5. Step 5: Solve for x
    x = 256,758,641,095.74/659,329.40
  6. Step 6: Final answer
    x = 389,423.92

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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.