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Finding the Fourth Proportional to 202,323.70, 282,728.30 and 202,323.70

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Solution

The fourth proportional to 202,323.70, 282,728.30 and 202,323.70 is: 282,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,323.70 : 282,728.30 = 202,323.70 : x
  2. Step 2: Convert to fraction form
    202,323.70/282,728.30 = 202,323.70/x
  3. Step 3: Cross multiply
    202,323.70x = 282,728.30 × 202,323.70
  4. Step 4: Simplify right side
    202,323.70x = 57,202,635,750.71
  5. Step 5: Solve for x
    x = 57,202,635,750.71/202,323.70
  6. Step 6: Final answer
    x = 282,728.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.