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Finding the Fourth Proportional to 648,714.96, 972,656.61 and 269,898.48

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Solution

The fourth proportional to 648,714.96, 972,656.61 and 269,898.48 is: 404,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,714.96 : 972,656.61 = 269,898.48 : x
  2. Step 2: Convert to fraction form
    648,714.96/972,656.61 = 269,898.48/x
  3. Step 3: Cross multiply
    648,714.96x = 972,656.61 × 269,898.48
  4. Step 4: Simplify right side
    648,714.96x = 262,518,540,600.95
  5. Step 5: Solve for x
    x = 262,518,540,600.95/648,714.96
  6. Step 6: Final answer
    x = 404,674.71

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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.