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Finding the Fourth Proportional to 411,047.79, 616,498.90 and 111,551.66

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Solution

The fourth proportional to 411,047.79, 616,498.90 and 111,551.66 is: 167,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,047.79 : 616,498.90 = 111,551.66 : x
  2. Step 2: Convert to fraction form
    411,047.79/616,498.90 = 111,551.66/x
  3. Step 3: Cross multiply
    411,047.79x = 616,498.90 × 111,551.66
  4. Step 4: Simplify right side
    411,047.79x = 68,771,472,899.77
  5. Step 5: Solve for x
    x = 68,771,472,899.77/411,047.79
  6. Step 6: Final answer
    x = 167,307.73

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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.