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Finding the Fourth Proportional to 596,232.54, 822,784.77 and 338,156.82

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Solution

The fourth proportional to 596,232.54, 822,784.77 and 338,156.82 is: 466,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,232.54 : 822,784.77 = 338,156.82 : x
  2. Step 2: Convert to fraction form
    596,232.54/822,784.77 = 338,156.82/x
  3. Step 3: Cross multiply
    596,232.54x = 822,784.77 × 338,156.82
  4. Step 4: Simplify right side
    596,232.54x = 278,230,281,367.63
  5. Step 5: Solve for x
    x = 278,230,281,367.63/596,232.54
  6. Step 6: Final answer
    x = 466,647.26

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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.