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Finding the Fourth Proportional to 310,177.91, 464,918.08 and 157,947.82

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Solution

The fourth proportional to 310,177.91, 464,918.08 and 157,947.82 is: 236,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,177.91 : 464,918.08 = 157,947.82 : x
  2. Step 2: Convert to fraction form
    310,177.91/464,918.08 = 157,947.82/x
  3. Step 3: Cross multiply
    310,177.91x = 464,918.08 × 157,947.82
  4. Step 4: Simplify right side
    310,177.91x = 73,432,798,568.74
  5. Step 5: Solve for x
    x = 73,432,798,568.74/310,177.91
  6. Step 6: Final answer
    x = 236,744.13

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1.5x scale

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.