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Finding the Fourth Proportional to 314,105.52, 433,472.64 and 170,873.28

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Solution

The fourth proportional to 314,105.52, 433,472.64 and 170,873.28 is: 235,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,105.52 : 433,472.64 = 170,873.28 : x
  2. Step 2: Convert to fraction form
    314,105.52/433,472.64 = 170,873.28/x
  3. Step 3: Cross multiply
    314,105.52x = 433,472.64 × 170,873.28
  4. Step 4: Simplify right side
    314,105.52x = 74,068,891,787.06
  5. Step 5: Solve for x
    x = 74,068,891,787.06/314,105.52
  6. Step 6: Final answer
    x = 235,808.95

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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.