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Finding the Fourth Proportional to 202,628.80, 284,302.40 and 202,628.80

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Solution

The fourth proportional to 202,628.80, 284,302.40 and 202,628.80 is: 284,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,628.80 : 284,302.40 = 202,628.80 : x
  2. Step 2: Convert to fraction form
    202,628.80/284,302.40 = 202,628.80/x
  3. Step 3: Cross multiply
    202,628.80x = 284,302.40 × 202,628.80
  4. Step 4: Simplify right side
    202,628.80x = 57,607,854,149.12
  5. Step 5: Solve for x
    x = 57,607,854,149.12/202,628.80
  6. Step 6: Final answer
    x = 284,302.40

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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.