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Finding the Fourth Proportional to 419,225.65, 578,344.48 and 283,215.85

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Solution

The fourth proportional to 419,225.65, 578,344.48 and 283,215.85 is: 390,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,225.65 : 578,344.48 = 283,215.85 : x
  2. Step 2: Convert to fraction form
    419,225.65/578,344.48 = 283,215.85/x
  3. Step 3: Cross multiply
    419,225.65x = 578,344.48 × 283,215.85
  4. Step 4: Simplify right side
    419,225.65x = 163,796,321,342.11
  5. Step 5: Solve for x
    x = 163,796,321,342.11/419,225.65
  6. Step 6: Final answer
    x = 390,711.59

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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.