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Finding the Fourth Proportional to 467,987.32, 701,980.44 and 152,443.72

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Solution

The fourth proportional to 467,987.32, 701,980.44 and 152,443.72 is: 228,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,987.32 : 701,980.44 = 152,443.72 : x
  2. Step 2: Convert to fraction form
    467,987.32/701,980.44 = 152,443.72/x
  3. Step 3: Cross multiply
    467,987.32x = 701,980.44 × 152,443.72
  4. Step 4: Simplify right side
    467,987.32x = 107,012,509,640.84
  5. Step 5: Solve for x
    x = 107,012,509,640.84/467,987.32
  6. Step 6: Final answer
    x = 228,665.40

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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.