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Finding the Fourth Proportional to 519,142.50, 716,416.66 and 280,678.50

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Solution

The fourth proportional to 519,142.50, 716,416.66 and 280,678.50 is: 387,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,142.50 : 716,416.66 = 280,678.50 : x
  2. Step 2: Convert to fraction form
    519,142.50/716,416.66 = 280,678.50/x
  3. Step 3: Cross multiply
    519,142.50x = 716,416.66 × 280,678.50
  4. Step 4: Simplify right side
    519,142.50x = 201,082,753,503.81
  5. Step 5: Solve for x
    x = 201,082,753,503.81/519,142.50
  6. Step 6: Final answer
    x = 387,336.34

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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.