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Finding the Fourth Proportional to 412,935.60, 619,403.40 and 146,996.40

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Solution

The fourth proportional to 412,935.60, 619,403.40 and 146,996.40 is: 220,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,935.60 : 619,403.40 = 146,996.40 : x
  2. Step 2: Convert to fraction form
    412,935.60/619,403.40 = 146,996.40/x
  3. Step 3: Cross multiply
    412,935.60x = 619,403.40 × 146,996.40
  4. Step 4: Simplify right side
    412,935.60x = 91,050,069,947.76
  5. Step 5: Solve for x
    x = 91,050,069,947.76/412,935.60
  6. Step 6: Final answer
    x = 220,494.60

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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.