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Finding the Fourth Proportional to 518,965, 716,171.78 and 280,501

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Solution

The fourth proportional to 518,965, 716,171.78 and 280,501 is: 387,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,965 : 716,171.78 = 280,501 : x
  2. Step 2: Convert to fraction form
    518,965/716,171.78 = 280,501/x
  3. Step 3: Cross multiply
    518,965x = 716,171.78 × 280,501
  4. Step 4: Simplify right side
    518,965x = 200,886,900,461.78
  5. Step 5: Solve for x
    x = 200,886,900,461.78/518,965
  6. Step 6: Final answer
    x = 387,091.42

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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.