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Finding the Fourth Proportional to 658,704.95, 909,013.43 and 356,898.95

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Solution

The fourth proportional to 658,704.95, 909,013.43 and 356,898.95 is: 492,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,704.95 : 909,013.43 = 356,898.95 : x
  2. Step 2: Convert to fraction form
    658,704.95/909,013.43 = 356,898.95/x
  3. Step 3: Cross multiply
    658,704.95x = 909,013.43 × 356,898.95
  4. Step 4: Simplify right side
    658,704.95x = 324,425,932,373.34
  5. Step 5: Solve for x
    x = 324,425,932,373.34/658,704.95
  6. Step 6: Final answer
    x = 492,520.87

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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.