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Finding the Fourth Proportional to 338,713.16, 467,430.57 and 185,742.23

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Solution

The fourth proportional to 338,713.16, 467,430.57 and 185,742.23 is: 256,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,713.16 : 467,430.57 = 185,742.23 : x
  2. Step 2: Convert to fraction form
    338,713.16/467,430.57 = 185,742.23/x
  3. Step 3: Cross multiply
    338,713.16x = 467,430.57 × 185,742.23
  4. Step 4: Simplify right side
    338,713.16x = 86,821,594,104.82
  5. Step 5: Solve for x
    x = 86,821,594,104.82/338,713.16
  6. Step 6: Final answer
    x = 256,327.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.