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Finding the Fourth Proportional to 384,016.40, 576,154.20 and 184,461.20

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Solution

The fourth proportional to 384,016.40, 576,154.20 and 184,461.20 is: 276,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,016.40 : 576,154.20 = 184,461.20 : x
  2. Step 2: Convert to fraction form
    384,016.40/576,154.20 = 184,461.20/x
  3. Step 3: Cross multiply
    384,016.40x = 576,154.20 × 184,461.20
  4. Step 4: Simplify right side
    384,016.40x = 106,278,095,117.04
  5. Step 5: Solve for x
    x = 106,278,095,117.04/384,016.40
  6. Step 6: Final answer
    x = 276,754.05

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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.