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Finding the Fourth Proportional to 311,063.16, 429,275.18 and 175,101.98

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Solution

The fourth proportional to 311,063.16, 429,275.18 and 175,101.98 is: 241,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,063.16 : 429,275.18 = 175,101.98 : x
  2. Step 2: Convert to fraction form
    311,063.16/429,275.18 = 175,101.98/x
  3. Step 3: Cross multiply
    311,063.16x = 429,275.18 × 175,101.98
  4. Step 4: Simplify right side
    311,063.16x = 75,166,930,960.97
  5. Step 5: Solve for x
    x = 75,166,930,960.97/311,063.16
  6. Step 6: Final answer
    x = 241,645.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.