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Finding the Fourth Proportional to 412,947.70, 619,421.55 and 412,947.70

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Solution

The fourth proportional to 412,947.70, 619,421.55 and 412,947.70 is: 619,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,947.70 : 619,421.55 = 412,947.70 : x
  2. Step 2: Convert to fraction form
    412,947.70/619,421.55 = 412,947.70/x
  3. Step 3: Cross multiply
    412,947.70x = 619,421.55 × 412,947.70
  4. Step 4: Simplify right side
    412,947.70x = 255,788,704,402.94
  5. Step 5: Solve for x
    x = 255,788,704,402.94/412,947.70
  6. Step 6: Final answer
    x = 619,421.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.