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Finding the Fourth Proportional to 414,133.70, 621,200.55 and 147,902.90

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Solution

The fourth proportional to 414,133.70, 621,200.55 and 147,902.90 is: 221,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,133.70 : 621,200.55 = 147,902.90 : x
  2. Step 2: Convert to fraction form
    414,133.70/621,200.55 = 147,902.90/x
  3. Step 3: Cross multiply
    414,133.70x = 621,200.55 × 147,902.90
  4. Step 4: Simplify right side
    414,133.70x = 91,877,362,826.60
  5. Step 5: Solve for x
    x = 91,877,362,826.60/414,133.70
  6. Step 6: Final answer
    x = 221,854.35

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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.