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Finding the Fourth Proportional to 575,714.16, 863,144.70 and 275,909.28

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Solution

The fourth proportional to 575,714.16, 863,144.70 and 275,909.28 is: 413,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,714.16 : 863,144.70 = 275,909.28 : x
  2. Step 2: Convert to fraction form
    575,714.16/863,144.70 = 275,909.28/x
  3. Step 3: Cross multiply
    575,714.16x = 863,144.70 × 275,909.28
  4. Step 4: Simplify right side
    575,714.16x = 238,149,632,712.82
  5. Step 5: Solve for x
    x = 238,149,632,712.82/575,714.16
  6. Step 6: Final answer
    x = 413,659.50

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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.