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Finding the Fourth Proportional to 433,098.74, 649,486.10 and 148,708.56

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Solution

The fourth proportional to 433,098.74, 649,486.10 and 148,708.56 is: 223,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,098.74 : 649,486.10 = 148,708.56 : x
  2. Step 2: Convert to fraction form
    433,098.74/649,486.10 = 148,708.56/x
  3. Step 3: Cross multiply
    433,098.74x = 649,486.10 × 148,708.56
  4. Step 4: Simplify right side
    433,098.74x = 96,584,142,671.02
  5. Step 5: Solve for x
    x = 96,584,142,671.02/433,098.74
  6. Step 6: Final answer
    x = 223,007.21

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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.