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Finding the Fourth Proportional to 202,978.80, 284,792.40 and 202,978.80

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Solution

The fourth proportional to 202,978.80, 284,792.40 and 202,978.80 is: 284,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,978.80 : 284,792.40 = 202,978.80 : x
  2. Step 2: Convert to fraction form
    202,978.80/284,792.40 = 202,978.80/x
  3. Step 3: Cross multiply
    202,978.80x = 284,792.40 × 202,978.80
  4. Step 4: Simplify right side
    202,978.80x = 57,806,819,601.12
  5. Step 5: Solve for x
    x = 57,806,819,601.12/202,978.80
  6. Step 6: Final answer
    x = 284,792.40

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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.