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Finding the Fourth Proportional to 467,726.40, 701,589.60 and 152,215.20

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Solution

The fourth proportional to 467,726.40, 701,589.60 and 152,215.20 is: 228,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,726.40 : 701,589.60 = 152,215.20 : x
  2. Step 2: Convert to fraction form
    467,726.40/701,589.60 = 152,215.20/x
  3. Step 3: Cross multiply
    467,726.40x = 701,589.60 × 152,215.20
  4. Step 4: Simplify right side
    467,726.40x = 106,792,601,281.92
  5. Step 5: Solve for x
    x = 106,792,601,281.92/467,726.40
  6. Step 6: Final answer
    x = 228,322.80

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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.