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Finding the Fourth Proportional to 513,224.84, 708,246.01 and 283,792.13

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Solution

The fourth proportional to 513,224.84, 708,246.01 and 283,792.13 is: 391,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,224.84 : 708,246.01 = 283,792.13 : x
  2. Step 2: Convert to fraction form
    513,224.84/708,246.01 = 283,792.13/x
  3. Step 3: Cross multiply
    513,224.84x = 708,246.01 × 283,792.13
  4. Step 4: Simplify right side
    513,224.84x = 200,994,643,741.90
  5. Step 5: Solve for x
    x = 200,994,643,741.90/513,224.84
  6. Step 6: Final answer
    x = 391,630.78

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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.