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Finding the Fourth Proportional to 384,727.76, 577,101.42 and 182,276.40

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Solution

The fourth proportional to 384,727.76, 577,101.42 and 182,276.40 is: 273,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,727.76 : 577,101.42 = 182,276.40 : x
  2. Step 2: Convert to fraction form
    384,727.76/577,101.42 = 182,276.40/x
  3. Step 3: Cross multiply
    384,727.76x = 577,101.42 × 182,276.40
  4. Step 4: Simplify right side
    384,727.76x = 105,191,969,272.49
  5. Step 5: Solve for x
    x = 105,191,969,272.49/384,727.76
  6. Step 6: Final answer
    x = 273,419.24

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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.