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Finding the Fourth Proportional to 468,032.21, 701,914.40 and 152,516.69

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Solution

The fourth proportional to 468,032.21, 701,914.40 and 152,516.69 is: 228,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,032.21 : 701,914.40 = 152,516.69 : x
  2. Step 2: Convert to fraction form
    468,032.21/701,914.40 = 152,516.69/x
  3. Step 3: Cross multiply
    468,032.21x = 701,914.40 × 152,516.69
  4. Step 4: Simplify right side
    468,032.21x = 107,053,660,188.75
  5. Step 5: Solve for x
    x = 107,053,660,188.75/468,032.21
  6. Step 6: Final answer
    x = 228,731.39

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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.