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Finding the Fourth Proportional to 287,594.20, 431,391.30 and 264,849.40

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Solution

The fourth proportional to 287,594.20, 431,391.30 and 264,849.40 is: 397,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,594.20 : 431,391.30 = 264,849.40 : x
  2. Step 2: Convert to fraction form
    287,594.20/431,391.30 = 264,849.40/x
  3. Step 3: Cross multiply
    287,594.20x = 431,391.30 × 264,849.40
  4. Step 4: Simplify right side
    287,594.20x = 114,253,726,970.22
  5. Step 5: Solve for x
    x = 114,253,726,970.22/287,594.20
  6. Step 6: Final answer
    x = 397,274.10

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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.