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Finding the Fourth Proportional to 345,853.76, 477,278.18 and 186,877.76

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Solution

The fourth proportional to 345,853.76, 477,278.18 and 186,877.76 is: 257,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,853.76 : 477,278.18 = 186,877.76 : x
  2. Step 2: Convert to fraction form
    345,853.76/477,278.18 = 186,877.76/x
  3. Step 3: Cross multiply
    345,853.76x = 477,278.18 × 186,877.76
  4. Step 4: Simplify right side
    345,853.76x = 89,192,677,175.28
  5. Step 5: Solve for x
    x = 89,192,677,175.28/345,853.76
  6. Step 6: Final answer
    x = 257,891.30

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1.5x scale

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.