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Finding the Fourth Proportional to 523,616.80, 722,594.64 and 297,266.08

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Solution

The fourth proportional to 523,616.80, 722,594.64 and 297,266.08 is: 410,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,616.80 : 722,594.64 = 297,266.08 : x
  2. Step 2: Convert to fraction form
    523,616.80/722,594.64 = 297,266.08/x
  3. Step 3: Cross multiply
    523,616.80x = 722,594.64 × 297,266.08
  4. Step 4: Simplify right side
    523,616.80x = 214,802,876,061.81
  5. Step 5: Solve for x
    x = 214,802,876,061.81/523,616.80
  6. Step 6: Final answer
    x = 410,229.15

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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.