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Finding the Fourth Proportional to 271,598.31, 407,397.44 and 144,854.58

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Solution

The fourth proportional to 271,598.31, 407,397.44 and 144,854.58 is: 217,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,598.31 : 407,397.44 = 144,854.58 : x
  2. Step 2: Convert to fraction form
    271,598.31/407,397.44 = 144,854.58/x
  3. Step 3: Cross multiply
    271,598.31x = 407,397.44 × 144,854.58
  4. Step 4: Simplify right side
    271,598.31x = 59,013,384,340.00
  5. Step 5: Solve for x
    x = 59,013,384,340.00/271,598.31
  6. Step 6: Final answer
    x = 217,281.85

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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.