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Finding the Fourth Proportional to 314,139.60, 433,490.40 and 186,791.40

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Solution

The fourth proportional to 314,139.60, 433,490.40 and 186,791.40 is: 257,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,139.60 : 433,490.40 = 186,791.40 : x
  2. Step 2: Convert to fraction form
    314,139.60/433,490.40 = 186,791.40/x
  3. Step 3: Cross multiply
    314,139.60x = 433,490.40 × 186,791.40
  4. Step 4: Simplify right side
    314,139.60x = 80,972,278,702.56
  5. Step 5: Solve for x
    x = 80,972,278,702.56/314,139.60
  6. Step 6: Final answer
    x = 257,758.90

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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.