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Finding the Fourth Proportional to 509,871.16, 703,631.10 and 280,453.24

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Solution

The fourth proportional to 509,871.16, 703,631.10 and 280,453.24 is: 387,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,871.16 : 703,631.10 = 280,453.24 : x
  2. Step 2: Convert to fraction form
    509,871.16/703,631.10 = 280,453.24/x
  3. Step 3: Cross multiply
    509,871.16x = 703,631.10 × 280,453.24
  4. Step 4: Simplify right side
    509,871.16x = 197,335,621,759.76
  5. Step 5: Solve for x
    x = 197,335,621,759.76/509,871.16
  6. Step 6: Final answer
    x = 387,030.37

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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.