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Finding the Fourth Proportional to 516,783.36, 713,169.36 and 284,219.76

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Solution

The fourth proportional to 516,783.36, 713,169.36 and 284,219.76 is: 392,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,783.36 : 713,169.36 = 284,219.76 : x
  2. Step 2: Convert to fraction form
    516,783.36/713,169.36 = 284,219.76/x
  3. Step 3: Cross multiply
    516,783.36x = 713,169.36 × 284,219.76
  4. Step 4: Simplify right side
    516,783.36x = 202,696,824,338.55
  5. Step 5: Solve for x
    x = 202,696,824,338.55/516,783.36
  6. Step 6: Final answer
    x = 392,227.85

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1.5x scale

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.