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Finding the Fourth Proportional to 656,500.74, 905,970.14 and 354,694.74

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Solution

The fourth proportional to 656,500.74, 905,970.14 and 354,694.74 is: 489,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,500.74 : 905,970.14 = 354,694.74 : x
  2. Step 2: Convert to fraction form
    656,500.74/905,970.14 = 354,694.74/x
  3. Step 3: Cross multiply
    656,500.74x = 905,970.14 × 354,694.74
  4. Step 4: Simplify right side
    656,500.74x = 321,342,844,806.85
  5. Step 5: Solve for x
    x = 321,342,844,806.85/656,500.74
  6. Step 6: Final answer
    x = 489,478.27

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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.