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Finding the Fourth Proportional to 344,678.49, 517,108.86 and 157,646.25

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Solution

The fourth proportional to 344,678.49, 517,108.86 and 157,646.25 is: 236,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,678.49 : 517,108.86 = 157,646.25 : x
  2. Step 2: Convert to fraction form
    344,678.49/517,108.86 = 157,646.25/x
  3. Step 3: Cross multiply
    344,678.49x = 517,108.86 × 157,646.25
  4. Step 4: Simplify right side
    344,678.49x = 81,520,272,620.78
  5. Step 5: Solve for x
    x = 81,520,272,620.78/344,678.49
  6. Step 6: Final answer
    x = 236,511.05

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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.