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Finding the Fourth Proportional to 341,838.90, 513,071.82 and 173,478.78

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Solution

The fourth proportional to 341,838.90, 513,071.82 and 173,478.78 is: 260,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,838.90 : 513,071.82 = 173,478.78 : x
  2. Step 2: Convert to fraction form
    341,838.90/513,071.82 = 173,478.78/x
  3. Step 3: Cross multiply
    341,838.90x = 513,071.82 × 173,478.78
  4. Step 4: Simplify right side
    341,838.90x = 89,007,073,385.98
  5. Step 5: Solve for x
    x = 89,007,073,385.98/341,838.90
  6. Step 6: Final answer
    x = 260,377.25

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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.