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Finding the Fourth Proportional to 314,086.70, 467,577.85 and 312,218.35

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Solution

The fourth proportional to 314,086.70, 467,577.85 and 312,218.35 is: 464,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,086.70 : 467,577.85 = 312,218.35 : x
  2. Step 2: Convert to fraction form
    314,086.70/467,577.85 = 312,218.35/x
  3. Step 3: Cross multiply
    314,086.70x = 467,577.85 × 312,218.35
  4. Step 4: Simplify right side
    314,086.70x = 145,986,384,776.64
  5. Step 5: Solve for x
    x = 145,986,384,776.64/314,086.70
  6. Step 6: Final answer
    x = 464,796.45

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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.