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Finding the Fourth Proportional to 398,426.50, 597,756.80 and 117,951.04

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Solution

The fourth proportional to 398,426.50, 597,756.80 and 117,951.04 is: 176,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,426.50 : 597,756.80 = 117,951.04 : x
  2. Step 2: Convert to fraction form
    398,426.50/597,756.80 = 117,951.04/x
  3. Step 3: Cross multiply
    398,426.50x = 597,756.80 × 117,951.04
  4. Step 4: Simplify right side
    398,426.50x = 70,506,036,227.07
  5. Step 5: Solve for x
    x = 70,506,036,227.07/398,426.50
  6. Step 6: Final answer
    x = 176,961.21

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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.