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Finding the Fourth Proportional to 384,770.91, 577,156.37 and 104,288.16

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Solution

The fourth proportional to 384,770.91, 577,156.37 and 104,288.16 is: 156,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,770.91 : 577,156.37 = 104,288.16 : x
  2. Step 2: Convert to fraction form
    384,770.91/577,156.37 = 104,288.16/x
  3. Step 3: Cross multiply
    384,770.91x = 577,156.37 × 104,288.16
  4. Step 4: Simplify right side
    384,770.91x = 60,190,575,859.58
  5. Step 5: Solve for x
    x = 60,190,575,859.58/384,770.91
  6. Step 6: Final answer
    x = 156,432.24

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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.