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Finding the Fourth Proportional to 306,710.80, 460,262.88 and 148,853.20

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Solution

The fourth proportional to 306,710.80, 460,262.88 and 148,853.20 is: 223,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,710.80 : 460,262.88 = 148,853.20 : x
  2. Step 2: Convert to fraction form
    306,710.80/460,262.88 = 148,853.20/x
  3. Step 3: Cross multiply
    306,710.80x = 460,262.88 × 148,853.20
  4. Step 4: Simplify right side
    306,710.80x = 68,511,602,529.22
  5. Step 5: Solve for x
    x = 68,511,602,529.22/306,710.80
  6. Step 6: Final answer
    x = 223,375.25

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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.