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Finding the Fourth Proportional to 314,689.19, 472,034.25 and 240,232.10

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Solution

The fourth proportional to 314,689.19, 472,034.25 and 240,232.10 is: 360,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,689.19 : 472,034.25 = 240,232.10 : x
  2. Step 2: Convert to fraction form
    314,689.19/472,034.25 = 240,232.10/x
  3. Step 3: Cross multiply
    314,689.19x = 472,034.25 × 240,232.10
  4. Step 4: Simplify right side
    314,689.19x = 113,397,776,789.25
  5. Step 5: Solve for x
    x = 113,397,776,789.25/314,689.19
  6. Step 6: Final answer
    x = 360,348.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.