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Finding the Fourth Proportional to 330,319.20, 456,029.64 and 217,470

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Solution

The fourth proportional to 330,319.20, 456,029.64 and 217,470 is: 300,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,319.20 : 456,029.64 = 217,470 : x
  2. Step 2: Convert to fraction form
    330,319.20/456,029.64 = 217,470/x
  3. Step 3: Cross multiply
    330,319.20x = 456,029.64 × 217,470
  4. Step 4: Simplify right side
    330,319.20x = 99,172,765,810.80
  5. Step 5: Solve for x
    x = 99,172,765,810.80/330,319.20
  6. Step 6: Final answer
    x = 300,233.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.