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Finding the Fourth Proportional to 498,058.50, 687,267.73 and 280,263.38

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Solution

The fourth proportional to 498,058.50, 687,267.73 and 280,263.38 is: 386,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,058.50 : 687,267.73 = 280,263.38 : x
  2. Step 2: Convert to fraction form
    498,058.50/687,267.73 = 280,263.38/x
  3. Step 3: Cross multiply
    498,058.50x = 687,267.73 × 280,263.38
  4. Step 4: Simplify right side
    498,058.50x = 192,615,973,538.39
  5. Step 5: Solve for x
    x = 192,615,973,538.39/498,058.50
  6. Step 6: Final answer
    x = 386,733.64

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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.