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Finding the Fourth Proportional to 314,057.32, 467,760.05 and 312,528.04

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Solution

The fourth proportional to 314,057.32, 467,760.05 and 312,528.04 is: 465,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,057.32 : 467,760.05 = 312,528.04 : x
  2. Step 2: Convert to fraction form
    314,057.32/467,760.05 = 312,528.04/x
  3. Step 3: Cross multiply
    314,057.32x = 467,760.05 × 312,528.04
  4. Step 4: Simplify right side
    314,057.32x = 146,188,131,616.80
  5. Step 5: Solve for x
    x = 146,188,131,616.80/314,057.32
  6. Step 6: Final answer
    x = 465,482.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.