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Finding the Fourth Proportional to 477,179.28, 715,770 and 224,274.24

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Solution

The fourth proportional to 477,179.28, 715,770 and 224,274.24 is: 336,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,179.28 : 715,770 = 224,274.24 : x
  2. Step 2: Convert to fraction form
    477,179.28/715,770 = 224,274.24/x
  3. Step 3: Cross multiply
    477,179.28x = 715,770 × 224,274.24
  4. Step 4: Simplify right side
    477,179.28x = 160,528,772,764.80
  5. Step 5: Solve for x
    x = 160,528,772,764.80/477,179.28
  6. Step 6: Final answer
    x = 336,411.87

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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.