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Finding the Fourth Proportional to 540,716.84, 746,193.11 and 295,702.68

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Solution

The fourth proportional to 540,716.84, 746,193.11 and 295,702.68 is: 408,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,716.84 : 746,193.11 = 295,702.68 : x
  2. Step 2: Convert to fraction form
    540,716.84/746,193.11 = 295,702.68/x
  3. Step 3: Cross multiply
    540,716.84x = 746,193.11 × 295,702.68
  4. Step 4: Simplify right side
    540,716.84x = 220,651,302,424.54
  5. Step 5: Solve for x
    x = 220,651,302,424.54/540,716.84
  6. Step 6: Final answer
    x = 408,071.82

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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.