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Finding the Fourth Proportional to 384,903.58, 577,287.32 and 104,442.70

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Solution

The fourth proportional to 384,903.58, 577,287.32 and 104,442.70 is: 156,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,903.58 : 577,287.32 = 104,442.70 : x
  2. Step 2: Convert to fraction form
    384,903.58/577,287.32 = 104,442.70/x
  3. Step 3: Cross multiply
    384,903.58x = 577,287.32 × 104,442.70
  4. Step 4: Simplify right side
    384,903.58x = 60,293,443,490.13
  5. Step 5: Solve for x
    x = 60,293,443,490.13/384,903.58
  6. Step 6: Final answer
    x = 156,645.58

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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.