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Finding the Fourth Proportional to 411,873.80, 618,156.30 and 201,691.40

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Solution

The fourth proportional to 411,873.80, 618,156.30 and 201,691.40 is: 302,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,873.80 : 618,156.30 = 201,691.40 : x
  2. Step 2: Convert to fraction form
    411,873.80/618,156.30 = 201,691.40/x
  3. Step 3: Cross multiply
    411,873.80x = 618,156.30 × 201,691.40
  4. Step 4: Simplify right side
    411,873.80x = 124,676,809,565.82
  5. Step 5: Solve for x
    x = 124,676,809,565.82/411,873.80
  6. Step 6: Final answer
    x = 302,706.34

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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.