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Finding the Fourth Proportional to 287,587.70, 431,381.55 and 264,842.90

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Solution

The fourth proportional to 287,587.70, 431,381.55 and 264,842.90 is: 397,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,587.70 : 431,381.55 = 264,842.90 : x
  2. Step 2: Convert to fraction form
    287,587.70/431,381.55 = 264,842.90/x
  3. Step 3: Cross multiply
    287,587.70x = 431,381.55 × 264,842.90
  4. Step 4: Simplify right side
    287,587.70x = 114,248,340,708.50
  5. Step 5: Solve for x
    x = 114,248,340,708.50/287,587.70
  6. Step 6: Final answer
    x = 397,264.35

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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.