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Finding the Fourth Proportional to 341,998.20, 512,997.30 and 288,854.10

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Solution

The fourth proportional to 341,998.20, 512,997.30 and 288,854.10 is: 433,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,998.20 : 512,997.30 = 288,854.10 : x
  2. Step 2: Convert to fraction form
    341,998.20/512,997.30 = 288,854.10/x
  3. Step 3: Cross multiply
    341,998.20x = 512,997.30 × 288,854.10
  4. Step 4: Simplify right side
    341,998.20x = 148,181,373,393.93
  5. Step 5: Solve for x
    x = 148,181,373,393.93/341,998.20
  6. Step 6: Final answer
    x = 433,281.15

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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.