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Finding the Fourth Proportional to 464,404.96, 696,608.16 and 127,450.18

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Solution

The fourth proportional to 464,404.96, 696,608.16 and 127,450.18 is: 191,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,404.96 : 696,608.16 = 127,450.18 : x
  2. Step 2: Convert to fraction form
    464,404.96/696,608.16 = 127,450.18/x
  3. Step 3: Cross multiply
    464,404.96x = 696,608.16 × 127,450.18
  4. Step 4: Simplify right side
    464,404.96x = 88,782,835,381.47
  5. Step 5: Solve for x
    x = 88,782,835,381.47/464,404.96
  6. Step 6: Final answer
    x = 191,175.47

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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.