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Finding the Fourth Proportional to 412,473.49, 569,088.06 and 259,664.22

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Solution

The fourth proportional to 412,473.49, 569,088.06 and 259,664.22 is: 358,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,473.49 : 569,088.06 = 259,664.22 : x
  2. Step 2: Convert to fraction form
    412,473.49/569,088.06 = 259,664.22/x
  3. Step 3: Cross multiply
    412,473.49x = 569,088.06 × 259,664.22
  4. Step 4: Simplify right side
    412,473.49x = 147,771,807,211.21
  5. Step 5: Solve for x
    x = 147,771,807,211.21/412,473.49
  6. Step 6: Final answer
    x = 358,257.71

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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.