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Finding the Fourth Proportional to 467,877.36, 701,742.84 and 152,332.14

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Solution

The fourth proportional to 467,877.36, 701,742.84 and 152,332.14 is: 228,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,877.36 : 701,742.84 = 152,332.14 : x
  2. Step 2: Convert to fraction form
    467,877.36/701,742.84 = 152,332.14/x
  3. Step 3: Cross multiply
    467,877.36x = 701,742.84 × 152,332.14
  4. Step 4: Simplify right side
    467,877.36x = 106,897,991,464.04
  5. Step 5: Solve for x
    x = 106,897,991,464.04/467,877.36
  6. Step 6: Final answer
    x = 228,474.38

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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.