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Finding the Fourth Proportional to 412,878.24, 619,420.80 and 117,390.24

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Solution

The fourth proportional to 412,878.24, 619,420.80 and 117,390.24 is: 176,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,878.24 : 619,420.80 = 117,390.24 : x
  2. Step 2: Convert to fraction form
    412,878.24/619,420.80 = 117,390.24/x
  3. Step 3: Cross multiply
    412,878.24x = 619,420.80 × 117,390.24
  4. Step 4: Simplify right side
    412,878.24x = 72,713,956,372.99
  5. Step 5: Solve for x
    x = 72,713,956,372.99/412,878.24
  6. Step 6: Final answer
    x = 176,114.77

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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.