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Finding the Fourth Proportional to 314,029.20, 433,347.90 and 170,789.06

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Solution

The fourth proportional to 314,029.20, 433,347.90 and 170,789.06 is: 235,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,029.20 : 433,347.90 = 170,789.06 : x
  2. Step 2: Convert to fraction form
    314,029.20/433,347.90 = 170,789.06/x
  3. Step 3: Cross multiply
    314,029.20x = 433,347.90 × 170,789.06
  4. Step 4: Simplify right side
    314,029.20x = 74,011,080,493.97
  5. Step 5: Solve for x
    x = 74,011,080,493.97/314,029.20
  6. Step 6: Final answer
    x = 235,682.16

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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.