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Finding the Fourth Proportional to 390,298.76, 538,414.94 and 261,242.72

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Solution

The fourth proportional to 390,298.76, 538,414.94 and 261,242.72 is: 360,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,298.76 : 538,414.94 = 261,242.72 : x
  2. Step 2: Convert to fraction form
    390,298.76/538,414.94 = 261,242.72/x
  3. Step 3: Cross multiply
    390,298.76x = 538,414.94 × 261,242.72
  4. Step 4: Simplify right side
    390,298.76x = 140,656,983,414.24
  5. Step 5: Solve for x
    x = 140,656,983,414.24/390,298.76
  6. Step 6: Final answer
    x = 360,382.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.