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Finding the Fourth Proportional to 314,407.11, 434,170.01 and 199,722.72

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Solution

The fourth proportional to 314,407.11, 434,170.01 and 199,722.72 is: 275,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,407.11 : 434,170.01 = 199,722.72 : x
  2. Step 2: Convert to fraction form
    314,407.11/434,170.01 = 199,722.72/x
  3. Step 3: Cross multiply
    314,407.11x = 434,170.01 × 199,722.72
  4. Step 4: Simplify right side
    314,407.11x = 86,713,614,341.01
  5. Step 5: Solve for x
    x = 86,713,614,341.01/314,407.11
  6. Step 6: Final answer
    x = 275,800.42

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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.