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Finding the Fourth Proportional to 310,006.52, 463,801.19 and 271,752.11

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Solution

The fourth proportional to 310,006.52, 463,801.19 and 271,752.11 is: 406,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,006.52 : 463,801.19 = 271,752.11 : x
  2. Step 2: Convert to fraction form
    310,006.52/463,801.19 = 271,752.11/x
  3. Step 3: Cross multiply
    310,006.52x = 463,801.19 × 271,752.11
  4. Step 4: Simplify right side
    310,006.52x = 126,038,952,003.01
  5. Step 5: Solve for x
    x = 126,038,952,003.01/310,006.52
  6. Step 6: Final answer
    x = 406,568.71

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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.