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Finding the Fourth Proportional to 467,600.32, 701,483.10 and 152,001.64

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Solution

The fourth proportional to 467,600.32, 701,483.10 and 152,001.64 is: 228,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,600.32 : 701,483.10 = 152,001.64 : x
  2. Step 2: Convert to fraction form
    467,600.32/701,483.10 = 152,001.64/x
  3. Step 3: Cross multiply
    467,600.32x = 701,483.10 × 152,001.64
  4. Step 4: Simplify right side
    467,600.32x = 106,626,581,632.28
  5. Step 5: Solve for x
    x = 106,626,581,632.28/467,600.32
  6. Step 6: Final answer
    x = 228,029.32

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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.