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Finding the Fourth Proportional to 341,663.16, 512,322.71 and 113,878.11

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Solution

The fourth proportional to 341,663.16, 512,322.71 and 113,878.11 is: 170,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,663.16 : 512,322.71 = 113,878.11 : x
  2. Step 2: Convert to fraction form
    341,663.16/512,322.71 = 113,878.11/x
  3. Step 3: Cross multiply
    341,663.16x = 512,322.71 × 113,878.11
  4. Step 4: Simplify right side
    341,663.16x = 58,342,341,355.49
  5. Step 5: Solve for x
    x = 58,342,341,355.49/341,663.16
  6. Step 6: Final answer
    x = 170,759.82

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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.