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Finding the Fourth Proportional to 478,208.88, 717,146.46 and 141,160.32

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Solution

The fourth proportional to 478,208.88, 717,146.46 and 141,160.32 is: 211,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,208.88 : 717,146.46 = 141,160.32 : x
  2. Step 2: Convert to fraction form
    478,208.88/717,146.46 = 141,160.32/x
  3. Step 3: Cross multiply
    478,208.88x = 717,146.46 × 141,160.32
  4. Step 4: Simplify right side
    478,208.88x = 101,232,623,780.47
  5. Step 5: Solve for x
    x = 101,232,623,780.47/478,208.88
  6. Step 6: Final answer
    x = 211,691.23

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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.