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Finding the Fourth Proportional to 398,203.80, 596,321.55 and 264,359.40

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Solution

The fourth proportional to 398,203.80, 596,321.55 and 264,359.40 is: 395,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,203.80 : 596,321.55 = 264,359.40 : x
  2. Step 2: Convert to fraction form
    398,203.80/596,321.55 = 264,359.40/x
  3. Step 3: Cross multiply
    398,203.80x = 596,321.55 × 264,359.40
  4. Step 4: Simplify right side
    398,203.80x = 157,643,207,165.07
  5. Step 5: Solve for x
    x = 157,643,207,165.07/398,203.80
  6. Step 6: Final answer
    x = 395,885.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.