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Finding the Fourth Proportional to 467,675.52, 701,595.68 and 152,076.64

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Solution

The fourth proportional to 467,675.52, 701,595.68 and 152,076.64 is: 228,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,675.52 : 701,595.68 = 152,076.64 : x
  2. Step 2: Convert to fraction form
    467,675.52/701,595.68 = 152,076.64/x
  3. Step 3: Cross multiply
    467,675.52x = 701,595.68 × 152,076.64
  4. Step 4: Simplify right side
    467,675.52x = 106,696,313,652.92
  5. Step 5: Solve for x
    x = 106,696,313,652.92/467,675.52
  6. Step 6: Final answer
    x = 228,141.75

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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.