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Finding the Fourth Proportional to 294,034.48, 440,643.12 and 153,512.80

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Solution

The fourth proportional to 294,034.48, 440,643.12 and 153,512.80 is: 230,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,034.48 : 440,643.12 = 153,512.80 : x
  2. Step 2: Convert to fraction form
    294,034.48/440,643.12 = 153,512.80/x
  3. Step 3: Cross multiply
    294,034.48x = 440,643.12 × 153,512.80
  4. Step 4: Simplify right side
    294,034.48x = 67,644,359,151.94
  5. Step 5: Solve for x
    x = 67,644,359,151.94/294,034.48
  6. Step 6: Final answer
    x = 230,055.87

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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.