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Finding the Fourth Proportional to 398,346.64, 549,711.24 and 217,060.13

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Solution

The fourth proportional to 398,346.64, 549,711.24 and 217,060.13 is: 299,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,346.64 : 549,711.24 = 217,060.13 : x
  2. Step 2: Convert to fraction form
    398,346.64/549,711.24 = 217,060.13/x
  3. Step 3: Cross multiply
    398,346.64x = 549,711.24 × 217,060.13
  4. Step 4: Simplify right side
    398,346.64x = 119,320,393,777.16
  5. Step 5: Solve for x
    x = 119,320,393,777.16/398,346.64
  6. Step 6: Final answer
    x = 299,539.10

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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.