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Finding the Fourth Proportional to 314,107.52, 433,475.40 and 170,875.28

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Solution

The fourth proportional to 314,107.52, 433,475.40 and 170,875.28 is: 235,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,107.52 : 433,475.40 = 170,875.28 : x
  2. Step 2: Convert to fraction form
    314,107.52/433,475.40 = 170,875.28/x
  3. Step 3: Cross multiply
    314,107.52x = 433,475.40 × 170,875.28
  4. Step 4: Simplify right side
    314,107.52x = 74,070,230,348.11
  5. Step 5: Solve for x
    x = 74,070,230,348.11/314,107.52
  6. Step 6: Final answer
    x = 235,811.71

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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.