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Finding the Fourth Proportional to 313,009.14, 469,550.97 and 99,702.16

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Solution

The fourth proportional to 313,009.14, 469,550.97 and 99,702.16 is: 149,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,009.14 : 469,550.97 = 99,702.16 : x
  2. Step 2: Convert to fraction form
    313,009.14/469,550.97 = 99,702.16/x
  3. Step 3: Cross multiply
    313,009.14x = 469,550.97 × 99,702.16
  4. Step 4: Simplify right side
    313,009.14x = 46,815,244,765.22
  5. Step 5: Solve for x
    x = 46,815,244,765.22/313,009.14
  6. Step 6: Final answer
    x = 149,565.10

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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.