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Finding the Fourth Proportional to 298,282.74, 411,637.80 and 162,324.06

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Solution

The fourth proportional to 298,282.74, 411,637.80 and 162,324.06 is: 224,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,282.74 : 411,637.80 = 162,324.06 : x
  2. Step 2: Convert to fraction form
    298,282.74/411,637.80 = 162,324.06/x
  3. Step 3: Cross multiply
    298,282.74x = 411,637.80 × 162,324.06
  4. Step 4: Simplify right side
    298,282.74x = 66,818,718,945.47
  5. Step 5: Solve for x
    x = 66,818,718,945.47/298,282.74
  6. Step 6: Final answer
    x = 224,011.35

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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.