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Finding the Fourth Proportional to 385,358.40, 577,807.20 and 198,734.40

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Solution

The fourth proportional to 385,358.40, 577,807.20 and 198,734.40 is: 297,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,358.40 : 577,807.20 = 198,734.40 : x
  2. Step 2: Convert to fraction form
    385,358.40/577,807.20 = 198,734.40/x
  3. Step 3: Cross multiply
    385,358.40x = 577,807.20 × 198,734.40
  4. Step 4: Simplify right side
    385,358.40x = 114,830,167,207.68
  5. Step 5: Solve for x
    x = 114,830,167,207.68/385,358.40
  6. Step 6: Final answer
    x = 297,982.78

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1.5x scale

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.