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Finding the Fourth Proportional to 306,710.30, 460,262.13 and 148,852.70

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Solution

The fourth proportional to 306,710.30, 460,262.13 and 148,852.70 is: 223,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,710.30 : 460,262.13 = 148,852.70 : x
  2. Step 2: Convert to fraction form
    306,710.30/460,262.13 = 148,852.70/x
  3. Step 3: Cross multiply
    306,710.30x = 460,262.13 × 148,852.70
  4. Step 4: Simplify right side
    306,710.30x = 68,511,260,758.25
  5. Step 5: Solve for x
    x = 68,511,260,758.25/306,710.30
  6. Step 6: Final answer
    x = 223,374.50

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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.