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Finding the Fourth Proportional to 753,006, 1,039,155.57 and 413,481.54

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Solution

The fourth proportional to 753,006, 1,039,155.57 and 413,481.54 is: 570,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,006 : 1,039,155.57 = 413,481.54 : x
  2. Step 2: Convert to fraction form
    753,006/1,039,155.57 = 413,481.54/x
  3. Step 3: Cross multiply
    753,006x = 1,039,155.57 × 413,481.54
  4. Step 4: Simplify right side
    753,006x = 429,671,645,383.18
  5. Step 5: Solve for x
    x = 429,671,645,383.18/753,006
  6. Step 6: Final answer
    x = 570,608.53

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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.