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Finding the Fourth Proportional to 341,423.82, 512,218.80 and 113,718.87

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Solution

The fourth proportional to 341,423.82, 512,218.80 and 113,718.87 is: 170,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,423.82 : 512,218.80 = 113,718.87 : x
  2. Step 2: Convert to fraction form
    341,423.82/512,218.80 = 113,718.87/x
  3. Step 3: Cross multiply
    341,423.82x = 512,218.80 × 113,718.87
  4. Step 4: Simplify right side
    341,423.82x = 58,248,943,128.76
  5. Step 5: Solve for x
    x = 58,248,943,128.76/341,423.82
  6. Step 6: Final answer
    x = 170,605.97

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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.