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Finding the Fourth Proportional to 474,433.67, 654,653.80 and 283,406.51

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Solution

The fourth proportional to 474,433.67, 654,653.80 and 283,406.51 is: 391,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,433.67 : 654,653.80 = 283,406.51 : x
  2. Step 2: Convert to fraction form
    474,433.67/654,653.80 = 283,406.51/x
  3. Step 3: Cross multiply
    474,433.67x = 654,653.80 × 283,406.51
  4. Step 4: Simplify right side
    474,433.67x = 185,533,148,716.24
  5. Step 5: Solve for x
    x = 185,533,148,716.24/474,433.67
  6. Step 6: Final answer
    x = 391,062.36

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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.