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Finding the Fourth Proportional to 384,651.20, 577,083.45 and 160,117.40

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Solution

The fourth proportional to 384,651.20, 577,083.45 and 160,117.40 is: 240,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,651.20 : 577,083.45 = 160,117.40 : x
  2. Step 2: Convert to fraction form
    384,651.20/577,083.45 = 160,117.40/x
  3. Step 3: Cross multiply
    384,651.20x = 577,083.45 × 160,117.40
  4. Step 4: Simplify right side
    384,651.20x = 92,401,101,597.03
  5. Step 5: Solve for x
    x = 92,401,101,597.03/384,651.20
  6. Step 6: Final answer
    x = 240,220.49

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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.