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Finding the Fourth Proportional to 314,407.61, 434,170.70 and 199,723.22

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Solution

The fourth proportional to 314,407.61, 434,170.70 and 199,723.22 is: 275,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,407.61 : 434,170.70 = 199,723.22 : x
  2. Step 2: Convert to fraction form
    314,407.61/434,170.70 = 199,723.22/x
  3. Step 3: Cross multiply
    314,407.61x = 434,170.70 × 199,723.22
  4. Step 4: Simplify right side
    314,407.61x = 86,713,969,235.04
  5. Step 5: Solve for x
    x = 86,713,969,235.04/314,407.61
  6. Step 6: Final answer
    x = 275,801.11

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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.