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Finding the Fourth Proportional to 411,048.29, 616,499.65 and 111,552.16

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Solution

The fourth proportional to 411,048.29, 616,499.65 and 111,552.16 is: 167,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,048.29 : 616,499.65 = 111,552.16 : x
  2. Step 2: Convert to fraction form
    411,048.29/616,499.65 = 111,552.16/x
  3. Step 3: Cross multiply
    411,048.29x = 616,499.65 × 111,552.16
  4. Step 4: Simplify right side
    411,048.29x = 68,771,863,956.49
  5. Step 5: Solve for x
    x = 68,771,863,956.49/411,048.29
  6. Step 6: Final answer
    x = 167,308.48

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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.