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Finding the Fourth Proportional to 310,454.19, 465,291.73 and 132,752.24

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Solution

The fourth proportional to 310,454.19, 465,291.73 and 132,752.24 is: 198,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,454.19 : 465,291.73 = 132,752.24 : x
  2. Step 2: Convert to fraction form
    310,454.19/465,291.73 = 132,752.24/x
  3. Step 3: Cross multiply
    310,454.19x = 465,291.73 × 132,752.24
  4. Step 4: Simplify right side
    310,454.19x = 61,768,519,410.98
  5. Step 5: Solve for x
    x = 61,768,519,410.98/310,454.19
  6. Step 6: Final answer
    x = 198,961.78

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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.