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Finding the Fourth Proportional to 650,622.29, 897,886.83 and 360,233.86

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Solution

The fourth proportional to 650,622.29, 897,886.83 and 360,233.86 is: 497,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,622.29 : 897,886.83 = 360,233.86 : x
  2. Step 2: Convert to fraction form
    650,622.29/897,886.83 = 360,233.86/x
  3. Step 3: Cross multiply
    650,622.29x = 897,886.83 × 360,233.86
  4. Step 4: Simplify right side
    650,622.29x = 323,449,238,614.06
  5. Step 5: Solve for x
    x = 323,449,238,614.06/650,622.29
  6. Step 6: Final answer
    x = 497,138.27

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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.