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Finding the Fourth Proportional to 384,894.11, 577,174.10 and 148,070.57

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Solution

The fourth proportional to 384,894.11, 577,174.10 and 148,070.57 is: 222,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,894.11 : 577,174.10 = 148,070.57 : x
  2. Step 2: Convert to fraction form
    384,894.11/577,174.10 = 148,070.57/x
  3. Step 3: Cross multiply
    384,894.11x = 577,174.10 × 148,070.57
  4. Step 4: Simplify right side
    384,894.11x = 85,462,494,350.01
  5. Step 5: Solve for x
    x = 85,462,494,350.01/384,894.11
  6. Step 6: Final answer
    x = 222,041.57

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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.