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Finding the Fourth Proportional to 384,765.66, 577,148.49 and 104,282.91

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Solution

The fourth proportional to 384,765.66, 577,148.49 and 104,282.91 is: 156,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,765.66 : 577,148.49 = 104,282.91 : x
  2. Step 2: Convert to fraction form
    384,765.66/577,148.49 = 104,282.91/x
  3. Step 3: Cross multiply
    384,765.66x = 577,148.49 × 104,282.91
  4. Step 4: Simplify right side
    384,765.66x = 60,186,724,039.31
  5. Step 5: Solve for x
    x = 60,186,724,039.31/384,765.66
  6. Step 6: Final answer
    x = 156,424.37

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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.