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Finding the Fourth Proportional to 314,049.83, 433,394.28 and 170,810.84

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Solution

The fourth proportional to 314,049.83, 433,394.28 and 170,810.84 is: 235,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,049.83 : 433,394.28 = 170,810.84 : x
  2. Step 2: Convert to fraction form
    314,049.83/433,394.28 = 170,810.84/x
  3. Step 3: Cross multiply
    314,049.83x = 433,394.28 × 170,810.84
  4. Step 4: Simplify right side
    314,049.83x = 74,028,442,101.48
  5. Step 5: Solve for x
    x = 74,028,442,101.48/314,049.83
  6. Step 6: Final answer
    x = 235,721.97

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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.