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Finding the Fourth Proportional to 384,364.08, 576,307.44 and 159,881.76

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Solution

The fourth proportional to 384,364.08, 576,307.44 and 159,881.76 is: 239,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,364.08 : 576,307.44 = 159,881.76 : x
  2. Step 2: Convert to fraction form
    384,364.08/576,307.44 = 159,881.76/x
  3. Step 3: Cross multiply
    384,364.08x = 576,307.44 × 159,881.76
  4. Step 4: Simplify right side
    384,364.08x = 92,141,047,808.29
  5. Step 5: Solve for x
    x = 92,141,047,808.29/384,364.08
  6. Step 6: Final answer
    x = 239,723.36

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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.