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Finding the Fourth Proportional to 305,233.80, 457,721.10 and 147,510.60

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Solution

The fourth proportional to 305,233.80, 457,721.10 and 147,510.60 is: 221,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,233.80 : 457,721.10 = 147,510.60 : x
  2. Step 2: Convert to fraction form
    305,233.80/457,721.10 = 147,510.60/x
  3. Step 3: Cross multiply
    305,233.80x = 457,721.10 × 147,510.60
  4. Step 4: Simplify right side
    305,233.80x = 67,518,714,093.66
  5. Step 5: Solve for x
    x = 67,518,714,093.66/305,233.80
  6. Step 6: Final answer
    x = 221,203.27

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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.