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Finding the Fourth Proportional to 384,747.55, 577,184.51 and 118,508.11

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Solution

The fourth proportional to 384,747.55, 577,184.51 and 118,508.11 is: 177,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,747.55 : 577,184.51 = 118,508.11 : x
  2. Step 2: Convert to fraction form
    384,747.55/577,184.51 = 118,508.11/x
  3. Step 3: Cross multiply
    384,747.55x = 577,184.51 × 118,508.11
  4. Step 4: Simplify right side
    384,747.55x = 68,401,045,401.38
  5. Step 5: Solve for x
    x = 68,401,045,401.38/384,747.55
  6. Step 6: Final answer
    x = 177,781.63

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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.