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Finding the Fourth Proportional to 467,304.40, 701,024.25 and 147,347.65

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Solution

The fourth proportional to 467,304.40, 701,024.25 and 147,347.65 is: 221,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,304.40 : 701,024.25 = 147,347.65 : x
  2. Step 2: Convert to fraction form
    467,304.40/701,024.25 = 147,347.65/x
  3. Step 3: Cross multiply
    467,304.40x = 701,024.25 × 147,347.65
  4. Step 4: Simplify right side
    467,304.40x = 103,294,275,830.51
  5. Step 5: Solve for x
    x = 103,294,275,830.51/467,304.40
  6. Step 6: Final answer
    x = 221,042.81

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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.