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Finding the Fourth Proportional to 467,714.85, 645,465.29 and 261,001.32

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Solution

The fourth proportional to 467,714.85, 645,465.29 and 261,001.32 is: 360,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,714.85 : 645,465.29 = 261,001.32 : x
  2. Step 2: Convert to fraction form
    467,714.85/645,465.29 = 261,001.32/x
  3. Step 3: Cross multiply
    467,714.85x = 645,465.29 × 261,001.32
  4. Step 4: Simplify right side
    467,714.85x = 168,467,291,399.18
  5. Step 5: Solve for x
    x = 168,467,291,399.18/467,714.85
  6. Step 6: Final answer
    x = 360,192.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.