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Finding the Fourth Proportional to 314,304.68, 433,751.10 and 171,069.92

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Solution

The fourth proportional to 314,304.68, 433,751.10 and 171,069.92 is: 236,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,304.68 : 433,751.10 = 171,069.92 : x
  2. Step 2: Convert to fraction form
    314,304.68/433,751.10 = 171,069.92/x
  3. Step 3: Cross multiply
    314,304.68x = 433,751.10 × 171,069.92
  4. Step 4: Simplify right side
    314,304.68x = 74,201,765,976.91
  5. Step 5: Solve for x
    x = 74,201,765,976.91/314,304.68
  6. Step 6: Final answer
    x = 236,082.28

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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.