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Finding the Fourth Proportional to 441,417.78, 662,123.16 and 292,325.22

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Solution

The fourth proportional to 441,417.78, 662,123.16 and 292,325.22 is: 438,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,417.78 : 662,123.16 = 292,325.22 : x
  2. Step 2: Convert to fraction form
    441,417.78/662,123.16 = 292,325.22/x
  3. Step 3: Cross multiply
    441,417.78x = 662,123.16 × 292,325.22
  4. Step 4: Simplify right side
    441,417.78x = 193,555,298,414.10
  5. Step 5: Solve for x
    x = 193,555,298,414.10/441,417.78
  6. Step 6: Final answer
    x = 438,485.51

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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.