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Finding the Fourth Proportional to 497,049.32, 685,947.48 and 282,209.38

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Solution

The fourth proportional to 497,049.32, 685,947.48 and 282,209.38 is: 389,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,049.32 : 685,947.48 = 282,209.38 : x
  2. Step 2: Convert to fraction form
    497,049.32/685,947.48 = 282,209.38/x
  3. Step 3: Cross multiply
    497,049.32x = 685,947.48 × 282,209.38
  4. Step 4: Simplify right side
    497,049.32x = 193,580,813,043.36
  5. Step 5: Solve for x
    x = 193,580,813,043.36/497,049.32
  6. Step 6: Final answer
    x = 389,459.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.