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Finding the Fourth Proportional to 314,141.88, 467,659.80 and 312,273.57

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Solution

The fourth proportional to 314,141.88, 467,659.80 and 312,273.57 is: 464,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,141.88 : 467,659.80 = 312,273.57 : x
  2. Step 2: Convert to fraction form
    314,141.88/467,659.80 = 312,273.57/x
  3. Step 3: Cross multiply
    314,141.88x = 467,659.80 × 312,273.57
  4. Step 4: Simplify right side
    314,141.88x = 146,037,795,291.49
  5. Step 5: Solve for x
    x = 146,037,795,291.49/314,141.88
  6. Step 6: Final answer
    x = 464,878.47

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1.5x scale

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.