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Finding the Fourth Proportional to 309,582.66, 464,374.02 and 204,377.04

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Solution

The fourth proportional to 309,582.66, 464,374.02 and 204,377.04 is: 306,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,582.66 : 464,374.02 = 204,377.04 : x
  2. Step 2: Convert to fraction form
    309,582.66/464,374.02 = 204,377.04/x
  3. Step 3: Cross multiply
    309,582.66x = 464,374.02 × 204,377.04
  4. Step 4: Simplify right side
    309,582.66x = 94,907,387,660.50
  5. Step 5: Solve for x
    x = 94,907,387,660.50/309,582.66
  6. Step 6: Final answer
    x = 306,565.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.