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Finding the Fourth Proportional to 258,038.34, 386,363.75 and 210,457.13

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Solution

The fourth proportional to 258,038.34, 386,363.75 and 210,457.13 is: 315,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,038.34 : 386,363.75 = 210,457.13 : x
  2. Step 2: Convert to fraction form
    258,038.34/386,363.75 = 210,457.13/x
  3. Step 3: Cross multiply
    258,038.34x = 386,363.75 × 210,457.13
  4. Step 4: Simplify right side
    258,038.34x = 81,313,002,976.93
  5. Step 5: Solve for x
    x = 81,313,002,976.93/258,038.34
  6. Step 6: Final answer
    x = 315,119.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.