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Finding the Fourth Proportional to 398,317.80, 549,671.61 and 217,031.23

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Solution

The fourth proportional to 398,317.80, 549,671.61 and 217,031.23 is: 299,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,317.80 : 549,671.61 = 217,031.23 : x
  2. Step 2: Convert to fraction form
    398,317.80/549,671.61 = 217,031.23/x
  3. Step 3: Cross multiply
    398,317.80x = 549,671.61 × 217,031.23
  4. Step 4: Simplify right side
    398,317.80x = 119,295,905,614.38
  5. Step 5: Solve for x
    x = 119,295,905,614.38/398,317.80
  6. Step 6: Final answer
    x = 299,499.31

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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.