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Finding the Fourth Proportional to 596,323.76, 822,741.00 and 338,180.40

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Solution

The fourth proportional to 596,323.76, 822,741.00 and 338,180.40 is: 466,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,323.76 : 822,741.00 = 338,180.40 : x
  2. Step 2: Convert to fraction form
    596,323.76/822,741.00 = 338,180.40/x
  3. Step 3: Cross multiply
    596,323.76x = 822,741.00 × 338,180.40
  4. Step 4: Simplify right side
    596,323.76x = 278,234,879,208.22
  5. Step 5: Solve for x
    x = 278,234,879,208.22/596,323.76
  6. Step 6: Final answer
    x = 466,583.59

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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.