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Finding the Fourth Proportional to 304,680.40, 457,150.20 and 146,827.60

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Solution

The fourth proportional to 304,680.40, 457,150.20 and 146,827.60 is: 220,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,680.40 : 457,150.20 = 146,827.60 : x
  2. Step 2: Convert to fraction form
    304,680.40/457,150.20 = 146,827.60/x
  3. Step 3: Cross multiply
    304,680.40x = 457,150.20 × 146,827.60
  4. Step 4: Simplify right side
    304,680.40x = 67,122,266,705.52
  5. Step 5: Solve for x
    x = 67,122,266,705.52/304,680.40
  6. Step 6: Final answer
    x = 220,303.86

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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.