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Finding the Fourth Proportional to 200,577.70, 280,283.90 and 200,577.70

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Solution

The fourth proportional to 200,577.70, 280,283.90 and 200,577.70 is: 280,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,577.70 : 280,283.90 = 200,577.70 : x
  2. Step 2: Convert to fraction form
    200,577.70/280,283.90 = 200,577.70/x
  3. Step 3: Cross multiply
    200,577.70x = 280,283.90 × 200,577.70
  4. Step 4: Simplify right side
    200,577.70x = 56,218,700,009.03
  5. Step 5: Solve for x
    x = 56,218,700,009.03/200,577.70
  6. Step 6: Final answer
    x = 280,283.90

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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.