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Finding the Fourth Proportional to 299,187.84, 414,625.94 and 293,510.55

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Solution

The fourth proportional to 299,187.84, 414,625.94 and 293,510.55 is: 406,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,187.84 : 414,625.94 = 293,510.55 : x
  2. Step 2: Convert to fraction form
    299,187.84/414,625.94 = 293,510.55/x
  3. Step 3: Cross multiply
    299,187.84x = 414,625.94 × 293,510.55
  4. Step 4: Simplify right side
    299,187.84x = 121,697,086,226.11
  5. Step 5: Solve for x
    x = 121,697,086,226.11/299,187.84
  6. Step 6: Final answer
    x = 406,758.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.