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Finding the Fourth Proportional to 650,556.57, 897,772.64 and 364,103.31

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Solution

The fourth proportional to 650,556.57, 897,772.64 and 364,103.31 is: 502,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,556.57 : 897,772.64 = 364,103.31 : x
  2. Step 2: Convert to fraction form
    650,556.57/897,772.64 = 364,103.31/x
  3. Step 3: Cross multiply
    650,556.57x = 897,772.64 × 364,103.31
  4. Step 4: Simplify right side
    650,556.57x = 326,881,988,030.92
  5. Step 5: Solve for x
    x = 326,881,988,030.92/650,556.57
  6. Step 6: Final answer
    x = 502,465.12

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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.