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Finding the Fourth Proportional to 310,099.97, 464,854.70 and 99,590.29

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Solution

The fourth proportional to 310,099.97, 464,854.70 and 99,590.29 is: 149,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,099.97 : 464,854.70 = 99,590.29 : x
  2. Step 2: Convert to fraction form
    310,099.97/464,854.70 = 99,590.29/x
  3. Step 3: Cross multiply
    310,099.97x = 464,854.70 × 99,590.29
  4. Step 4: Simplify right side
    310,099.97x = 46,295,014,380.86
  5. Step 5: Solve for x
    x = 46,295,014,380.86/310,099.97
  6. Step 6: Final answer
    x = 149,290.61

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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.