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Finding the Fourth Proportional to 467,676.52, 701,597.18 and 152,077.64

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Solution

The fourth proportional to 467,676.52, 701,597.18 and 152,077.64 is: 228,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,676.52 : 701,597.18 = 152,077.64 : x
  2. Step 2: Convert to fraction form
    467,676.52/701,597.18 = 152,077.64/x
  3. Step 3: Cross multiply
    467,676.52x = 701,597.18 × 152,077.64
  4. Step 4: Simplify right side
    467,676.52x = 106,697,243,365.06
  5. Step 5: Solve for x
    x = 106,697,243,365.06/467,676.52
  6. Step 6: Final answer
    x = 228,143.25

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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.