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Finding the Fourth Proportional to 409,401.30, 614,101.95 and 366,098.70

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Solution

The fourth proportional to 409,401.30, 614,101.95 and 366,098.70 is: 549,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,401.30 : 614,101.95 = 366,098.70 : x
  2. Step 2: Convert to fraction form
    409,401.30/614,101.95 = 366,098.70/x
  3. Step 3: Cross multiply
    409,401.30x = 614,101.95 × 366,098.70
  4. Step 4: Simplify right side
    409,401.30x = 224,821,925,562.47
  5. Step 5: Solve for x
    x = 224,821,925,562.47/409,401.30
  6. Step 6: Final answer
    x = 549,148.05

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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.