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Finding the Fourth Proportional to 314,138.88, 467,655.33 and 312,270.57

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Solution

The fourth proportional to 314,138.88, 467,655.33 and 312,270.57 is: 464,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,138.88 : 467,655.33 = 312,270.57 : x
  2. Step 2: Convert to fraction form
    314,138.88/467,655.33 = 312,270.57/x
  3. Step 3: Cross multiply
    314,138.88x = 467,655.33 × 312,270.57
  4. Step 4: Simplify right side
    314,138.88x = 146,034,996,462.64
  5. Step 5: Solve for x
    x = 146,034,996,462.64/314,138.88
  6. Step 6: Final answer
    x = 464,874.00

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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.