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Finding the Fourth Proportional to 659,024.64, 988,613.76 and 238,498.56

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Solution

The fourth proportional to 659,024.64, 988,613.76 and 238,498.56 is: 357,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,024.64 : 988,613.76 = 238,498.56 : x
  2. Step 2: Convert to fraction form
    659,024.64/988,613.76 = 238,498.56/x
  3. Step 3: Cross multiply
    659,024.64x = 988,613.76 × 238,498.56
  4. Step 4: Simplify right side
    659,024.64x = 235,782,958,156.19
  5. Step 5: Solve for x
    x = 235,782,958,156.19/659,024.64
  6. Step 6: Final answer
    x = 357,775.63

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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.