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Finding the Fourth Proportional to 650,037.62, 975,178.47 and 295,076.54

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Solution

The fourth proportional to 650,037.62, 975,178.47 and 295,076.54 is: 442,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,037.62 : 975,178.47 = 295,076.54 : x
  2. Step 2: Convert to fraction form
    650,037.62/975,178.47 = 295,076.54/x
  3. Step 3: Cross multiply
    650,037.62x = 975,178.47 × 295,076.54
  4. Step 4: Simplify right side
    650,037.62x = 287,752,288,810.09
  5. Step 5: Solve for x
    x = 287,752,288,810.09/650,037.62
  6. Step 6: Final answer
    x = 442,670.21

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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.