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Finding the Fourth Proportional to 384,904.34, 577,288.46 and 104,443.46

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Solution

The fourth proportional to 384,904.34, 577,288.46 and 104,443.46 is: 156,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,904.34 : 577,288.46 = 104,443.46 : x
  2. Step 2: Convert to fraction form
    384,904.34/577,288.46 = 104,443.46/x
  3. Step 3: Cross multiply
    384,904.34x = 577,288.46 × 104,443.46
  4. Step 4: Simplify right side
    384,904.34x = 60,294,004,180.47
  5. Step 5: Solve for x
    x = 60,294,004,180.47/384,904.34
  6. Step 6: Final answer
    x = 156,646.72

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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.