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Finding the Fourth Proportional to 380,347.49, 524,914.75 and 210,581.62

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Solution

The fourth proportional to 380,347.49, 524,914.75 and 210,581.62 is: 290,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,347.49 : 524,914.75 = 210,581.62 : x
  2. Step 2: Convert to fraction form
    380,347.49/524,914.75 = 210,581.62/x
  3. Step 3: Cross multiply
    380,347.49x = 524,914.75 × 210,581.62
  4. Step 4: Simplify right side
    380,347.49x = 110,537,398,416.90
  5. Step 5: Solve for x
    x = 110,537,398,416.90/380,347.49
  6. Step 6: Final answer
    x = 290,622.13

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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.