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Finding the Fourth Proportional to 409,425.99, 614,329.19 and 156,622.90

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Solution

The fourth proportional to 409,425.99, 614,329.19 and 156,622.90 is: 235,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,425.99 : 614,329.19 = 156,622.90 : x
  2. Step 2: Convert to fraction form
    409,425.99/614,329.19 = 156,622.90/x
  3. Step 3: Cross multiply
    409,425.99x = 614,329.19 × 156,622.90
  4. Step 4: Simplify right side
    409,425.99x = 96,218,019,292.45
  5. Step 5: Solve for x
    x = 96,218,019,292.45/409,425.99
  6. Step 6: Final answer
    x = 235,007.11

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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.