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Finding the Fourth Proportional to 384,419.80, 577,212.90 and 295,773.40

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Solution

The fourth proportional to 384,419.80, 577,212.90 and 295,773.40 is: 444,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,419.80 : 577,212.90 = 295,773.40 : x
  2. Step 2: Convert to fraction form
    384,419.80/577,212.90 = 295,773.40/x
  3. Step 3: Cross multiply
    384,419.80x = 577,212.90 × 295,773.40
  4. Step 4: Simplify right side
    384,419.80x = 170,724,221,956.86
  5. Step 5: Solve for x
    x = 170,724,221,956.86/384,419.80
  6. Step 6: Final answer
    x = 444,108.82

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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.