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Finding the Fourth Proportional to 390,283.85, 538,394.46 and 261,227.72

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Solution

The fourth proportional to 390,283.85, 538,394.46 and 261,227.72 is: 360,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,283.85 : 538,394.46 = 261,227.72 : x
  2. Step 2: Convert to fraction form
    390,283.85/538,394.46 = 261,227.72/x
  3. Step 3: Cross multiply
    390,283.85x = 538,394.46 × 261,227.72
  4. Step 4: Simplify right side
    390,283.85x = 140,643,557,246.43
  5. Step 5: Solve for x
    x = 140,643,557,246.43/390,283.85
  6. Step 6: Final answer
    x = 360,362.23

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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.