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Finding the Fourth Proportional to 313,833.35, 433,084.92 and 170,597

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Solution

The fourth proportional to 313,833.35, 433,084.92 and 170,597 is: 235,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,833.35 : 433,084.92 = 170,597 : x
  2. Step 2: Convert to fraction form
    313,833.35/433,084.92 = 170,597/x
  3. Step 3: Cross multiply
    313,833.35x = 433,084.92 × 170,597
  4. Step 4: Simplify right side
    313,833.35x = 73,882,988,097.24
  5. Step 5: Solve for x
    x = 73,882,988,097.24/313,833.35
  6. Step 6: Final answer
    x = 235,421.09

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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.