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Finding the Fourth Proportional to 308,645.88, 463,013.17 and 95,430.42

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Solution

The fourth proportional to 308,645.88, 463,013.17 and 95,430.42 is: 143,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,645.88 : 463,013.17 = 95,430.42 : x
  2. Step 2: Convert to fraction form
    308,645.88/463,013.17 = 95,430.42/x
  3. Step 3: Cross multiply
    308,645.88x = 463,013.17 × 95,430.42
  4. Step 4: Simplify right side
    308,645.88x = 44,185,541,040.06
  5. Step 5: Solve for x
    x = 44,185,541,040.06/308,645.88
  6. Step 6: Final answer
    x = 143,159.34

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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.