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Finding the Fourth Proportional to 398,327.98, 549,685.69 and 217,041.40

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Solution

The fourth proportional to 398,327.98, 549,685.69 and 217,041.40 is: 299,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,327.98 : 549,685.69 = 217,041.40 : x
  2. Step 2: Convert to fraction form
    398,327.98/549,685.69 = 217,041.40/x
  3. Step 3: Cross multiply
    398,327.98x = 549,685.69 × 217,041.40
  4. Step 4: Simplify right side
    398,327.98x = 119,304,548,426.53
  5. Step 5: Solve for x
    x = 119,304,548,426.53/398,327.98
  6. Step 6: Final answer
    x = 299,513.36

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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.