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Finding the Fourth Proportional to 584,167, 806,150.50 and 315,895

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Solution

The fourth proportional to 584,167, 806,150.50 and 315,895 is: 435,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,167 : 806,150.50 = 315,895 : x
  2. Step 2: Convert to fraction form
    584,167/806,150.50 = 315,895/x
  3. Step 3: Cross multiply
    584,167x = 806,150.50 × 315,895
  4. Step 4: Simplify right side
    584,167x = 254,658,912,197.50
  5. Step 5: Solve for x
    x = 254,658,912,197.50/584,167
  6. Step 6: Final answer
    x = 435,935.12

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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.