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Finding the Fourth Proportional to 411,045.74, 567,199.74 and 229,738.58

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Solution

The fourth proportional to 411,045.74, 567,199.74 and 229,738.58 is: 317,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,045.74 : 567,199.74 = 229,738.58 : x
  2. Step 2: Convert to fraction form
    411,045.74/567,199.74 = 229,738.58/x
  3. Step 3: Cross multiply
    411,045.74x = 567,199.74 × 229,738.58
  4. Step 4: Simplify right side
    411,045.74x = 130,307,662,843.97
  5. Step 5: Solve for x
    x = 130,307,662,843.97/411,045.74
  6. Step 6: Final answer
    x = 317,014.99

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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.