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Finding the Fourth Proportional to 526,341.14, 726,334.39 and 296,895

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Solution

The fourth proportional to 526,341.14, 726,334.39 and 296,895 is: 409,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,341.14 : 726,334.39 = 296,895 : x
  2. Step 2: Convert to fraction form
    526,341.14/726,334.39 = 296,895/x
  3. Step 3: Cross multiply
    526,341.14x = 726,334.39 × 296,895
  4. Step 4: Simplify right side
    526,341.14x = 215,645,048,719.05
  5. Step 5: Solve for x
    x = 215,645,048,719.05/526,341.14
  6. Step 6: Final answer
    x = 409,705.86

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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.