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Finding the Fourth Proportional to 311,914.40, 467,871.60 and 292,231.40

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Solution

The fourth proportional to 311,914.40, 467,871.60 and 292,231.40 is: 438,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,914.40 : 467,871.60 = 292,231.40 : x
  2. Step 2: Convert to fraction form
    311,914.40/467,871.60 = 292,231.40/x
  3. Step 3: Cross multiply
    311,914.40x = 467,871.60 × 292,231.40
  4. Step 4: Simplify right side
    311,914.40x = 136,726,772,688.24
  5. Step 5: Solve for x
    x = 136,726,772,688.24/311,914.40
  6. Step 6: Final answer
    x = 438,347.10

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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.