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Finding the Fourth Proportional to 398,343.85, 549,707.41 and 217,057.35

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Solution

The fourth proportional to 398,343.85, 549,707.41 and 217,057.35 is: 299,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,343.85 : 549,707.41 = 217,057.35 : x
  2. Step 2: Convert to fraction form
    398,343.85/549,707.41 = 217,057.35/x
  3. Step 3: Cross multiply
    398,343.85x = 549,707.41 × 217,057.35
  4. Step 4: Simplify right side
    398,343.85x = 119,318,033,689.96
  5. Step 5: Solve for x
    x = 119,318,033,689.96/398,343.85
  6. Step 6: Final answer
    x = 299,535.27

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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.