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Finding the Fourth Proportional to 519,157, 716,436.66 and 280,693

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Solution

The fourth proportional to 519,157, 716,436.66 and 280,693 is: 387,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,157 : 716,436.66 = 280,693 : x
  2. Step 2: Convert to fraction form
    519,157/716,436.66 = 280,693/x
  3. Step 3: Cross multiply
    519,157x = 716,436.66 × 280,693
  4. Step 4: Simplify right side
    519,157x = 201,098,755,405.38
  5. Step 5: Solve for x
    x = 201,098,755,405.38/519,157
  6. Step 6: Final answer
    x = 387,356.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.