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Finding the Fourth Proportional to 467,642.42, 645,346.24 and 252,782.48

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Solution

The fourth proportional to 467,642.42, 645,346.24 and 252,782.48 is: 348,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,642.42 : 645,346.24 = 252,782.48 : x
  2. Step 2: Convert to fraction form
    467,642.42/645,346.24 = 252,782.48/x
  3. Step 3: Cross multiply
    467,642.42x = 645,346.24 × 252,782.48
  4. Step 4: Simplify right side
    467,642.42x = 163,132,223,005.88
  5. Step 5: Solve for x
    x = 163,132,223,005.88/467,642.42
  6. Step 6: Final answer
    x = 348,839.66

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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.