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Finding the Fourth Proportional to 412,591.04, 569,562.16 and 259,853.68

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Solution

The fourth proportional to 412,591.04, 569,562.16 and 259,853.68 is: 358,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,591.04 : 569,562.16 = 259,853.68 : x
  2. Step 2: Convert to fraction form
    412,591.04/569,562.16 = 259,853.68/x
  3. Step 3: Cross multiply
    412,591.04x = 569,562.16 × 259,853.68
  4. Step 4: Simplify right side
    412,591.04x = 148,002,823,264.75
  5. Step 5: Solve for x
    x = 148,002,823,264.75/412,591.04
  6. Step 6: Final answer
    x = 358,715.55

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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.