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Finding the Fourth Proportional to 384,455.80, 577,266.90 and 295,809.40

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Solution

The fourth proportional to 384,455.80, 577,266.90 and 295,809.40 is: 444,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,455.80 : 577,266.90 = 295,809.40 : x
  2. Step 2: Convert to fraction form
    384,455.80/577,266.90 = 295,809.40/x
  3. Step 3: Cross multiply
    384,455.80x = 577,266.90 × 295,809.40
  4. Step 4: Simplify right side
    384,455.80x = 170,760,975,328.86
  5. Step 5: Solve for x
    x = 170,760,975,328.86/384,455.80
  6. Step 6: Final answer
    x = 444,162.83

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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.