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Finding the Fourth Proportional to 398,319.60, 549,674.13 and 217,033.02

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Solution

The fourth proportional to 398,319.60, 549,674.13 and 217,033.02 is: 299,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,319.60 : 549,674.13 = 217,033.02 : x
  2. Step 2: Convert to fraction form
    398,319.60/549,674.13 = 217,033.02/x
  3. Step 3: Cross multiply
    398,319.60x = 549,674.13 × 217,033.02
  4. Step 4: Simplify right side
    398,319.60x = 119,297,436,449.77
  5. Step 5: Solve for x
    x = 119,297,436,449.77/398,319.60
  6. Step 6: Final answer
    x = 299,501.80

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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.