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Finding the Fourth Proportional to 552,512.48, 829,383.24 and 286,201.76

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Solution

The fourth proportional to 552,512.48, 829,383.24 and 286,201.76 is: 429,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,512.48 : 829,383.24 = 286,201.76 : x
  2. Step 2: Convert to fraction form
    552,512.48/829,383.24 = 286,201.76/x
  3. Step 3: Cross multiply
    552,512.48x = 829,383.24 × 286,201.76
  4. Step 4: Simplify right side
    552,512.48x = 237,370,943,002.50
  5. Step 5: Solve for x
    x = 237,370,943,002.50/552,512.48
  6. Step 6: Final answer
    x = 429,620.96

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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.