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Finding the Fourth Proportional to 284,808.48, 426,839 and 209,576.35

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Solution

The fourth proportional to 284,808.48, 426,839 and 209,576.35 is: 314,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,808.48 : 426,839 = 209,576.35 : x
  2. Step 2: Convert to fraction form
    284,808.48/426,839 = 209,576.35/x
  3. Step 3: Cross multiply
    284,808.48x = 426,839 × 209,576.35
  4. Step 4: Simplify right side
    284,808.48x = 89,455,359,657.65
  5. Step 5: Solve for x
    x = 89,455,359,657.65/284,808.48
  6. Step 6: Final answer
    x = 314,089.52

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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.