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Finding the Fourth Proportional to 330,678.40, 456,315.76 and 185,476.20

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Solution

The fourth proportional to 330,678.40, 456,315.76 and 185,476.20 is: 255,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,678.40 : 456,315.76 = 185,476.20 : x
  2. Step 2: Convert to fraction form
    330,678.40/456,315.76 = 185,476.20/x
  3. Step 3: Cross multiply
    330,678.40x = 456,315.76 × 185,476.20
  4. Step 4: Simplify right side
    330,678.40x = 84,635,713,164.91
  5. Step 5: Solve for x
    x = 84,635,713,164.91/330,678.40
  6. Step 6: Final answer
    x = 255,945.70

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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.