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Finding the Fourth Proportional to 511,569.60, 705,944.16 and 285,213.12

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Solution

The fourth proportional to 511,569.60, 705,944.16 and 285,213.12 is: 393,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,569.60 : 705,944.16 = 285,213.12 : x
  2. Step 2: Convert to fraction form
    511,569.60/705,944.16 = 285,213.12/x
  3. Step 3: Cross multiply
    511,569.60x = 705,944.16 × 285,213.12
  4. Step 4: Simplify right side
    511,569.60x = 201,344,536,419.38
  5. Step 5: Solve for x
    x = 201,344,536,419.38/511,569.60
  6. Step 6: Final answer
    x = 393,581.90

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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.