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Finding the Fourth Proportional to 314,057.70, 433,378.28 and 170,814.66

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Solution

The fourth proportional to 314,057.70, 433,378.28 and 170,814.66 is: 235,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,057.70 : 433,378.28 = 170,814.66 : x
  2. Step 2: Convert to fraction form
    314,057.70/433,378.28 = 170,814.66/x
  3. Step 3: Cross multiply
    314,057.70x = 433,378.28 × 170,814.66
  4. Step 4: Simplify right side
    314,057.70x = 74,027,363,549.58
  5. Step 5: Solve for x
    x = 74,027,363,549.58/314,057.70
  6. Step 6: Final answer
    x = 235,712.62

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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.