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Finding the Fourth Proportional to 305,064.40, 457,726.20 and 147,211.60

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Solution

The fourth proportional to 305,064.40, 457,726.20 and 147,211.60 is: 220,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,064.40 : 457,726.20 = 147,211.60 : x
  2. Step 2: Convert to fraction form
    305,064.40/457,726.20 = 147,211.60/x
  3. Step 3: Cross multiply
    305,064.40x = 457,726.20 × 147,211.60
  4. Step 4: Simplify right side
    305,064.40x = 67,382,606,263.92
  5. Step 5: Solve for x
    x = 67,382,606,263.92/305,064.40
  6. Step 6: Final answer
    x = 220,879.94

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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.