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Finding the Fourth Proportional to 545,357.48, 817,642.54 and 229,642.12

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Solution

The fourth proportional to 545,357.48, 817,642.54 and 229,642.12 is: 344,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,357.48 : 817,642.54 = 229,642.12 : x
  2. Step 2: Convert to fraction form
    545,357.48/817,642.54 = 229,642.12/x
  3. Step 3: Cross multiply
    545,357.48x = 817,642.54 × 229,642.12
  4. Step 4: Simplify right side
    545,357.48x = 187,765,166,287.79
  5. Step 5: Solve for x
    x = 187,765,166,287.79/545,357.48
  6. Step 6: Final answer
    x = 344,297.41

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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.