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Finding the Fourth Proportional to 598,445.72, 825,742.10 and 356,750.78

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Solution

The fourth proportional to 598,445.72, 825,742.10 and 356,750.78 is: 492,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,445.72 : 825,742.10 = 356,750.78 : x
  2. Step 2: Convert to fraction form
    598,445.72/825,742.10 = 356,750.78/x
  3. Step 3: Cross multiply
    598,445.72x = 825,742.10 × 356,750.78
  4. Step 4: Simplify right side
    598,445.72x = 294,584,137,655.08
  5. Step 5: Solve for x
    x = 294,584,137,655.08/598,445.72
  6. Step 6: Final answer
    x = 492,248.72

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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.