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Finding the Fourth Proportional to 432,410.40, 647,060.40 and 292,442.40

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Solution

The fourth proportional to 432,410.40, 647,060.40 and 292,442.40 is: 437,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,410.40 : 647,060.40 = 292,442.40 : x
  2. Step 2: Convert to fraction form
    432,410.40/647,060.40 = 292,442.40/x
  3. Step 3: Cross multiply
    432,410.40x = 647,060.40 × 292,442.40
  4. Step 4: Simplify right side
    432,410.40x = 189,227,896,320.96
  5. Step 5: Solve for x
    x = 189,227,896,320.96/432,410.40
  6. Step 6: Final answer
    x = 437,611.81

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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.