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Finding the Fourth Proportional to 412,893.52, 619,444.34 and 117,405.52

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Solution

The fourth proportional to 412,893.52, 619,444.34 and 117,405.52 is: 176,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,893.52 : 619,444.34 = 117,405.52 : x
  2. Step 2: Convert to fraction form
    412,893.52/619,444.34 = 117,405.52/x
  3. Step 3: Cross multiply
    412,893.52x = 619,444.34 × 117,405.52
  4. Step 4: Simplify right side
    412,893.52x = 72,726,184,848.76
  5. Step 5: Solve for x
    x = 72,726,184,848.76/412,893.52
  6. Step 6: Final answer
    x = 176,137.87

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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.