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Finding the Fourth Proportional to 411,161.55, 616,353.53 and 242,811.15

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Solution

The fourth proportional to 411,161.55, 616,353.53 and 242,811.15 is: 363,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,161.55 : 616,353.53 = 242,811.15 : x
  2. Step 2: Convert to fraction form
    411,161.55/616,353.53 = 242,811.15/x
  3. Step 3: Cross multiply
    411,161.55x = 616,353.53 × 242,811.15
  4. Step 4: Simplify right side
    411,161.55x = 149,657,508,211.80
  5. Step 5: Solve for x
    x = 149,657,508,211.80/411,161.55
  6. Step 6: Final answer
    x = 363,987.12

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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.