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Finding the Fourth Proportional to 538,690.54, 808,273.83 and 282,461.92

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Solution

The fourth proportional to 538,690.54, 808,273.83 and 282,461.92 is: 423,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,690.54 : 808,273.83 = 282,461.92 : x
  2. Step 2: Convert to fraction form
    538,690.54/808,273.83 = 282,461.92/x
  3. Step 3: Cross multiply
    538,690.54x = 808,273.83 × 282,461.92
  4. Step 4: Simplify right side
    538,690.54x = 228,306,577,907.55
  5. Step 5: Solve for x
    x = 228,306,577,907.55/538,690.54
  6. Step 6: Final answer
    x = 423,817.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.