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Finding the Fourth Proportional to 478,092.60, 716,971.77 and 141,043.80

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Solution

The fourth proportional to 478,092.60, 716,971.77 and 141,043.80 is: 211,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,092.60 : 716,971.77 = 141,043.80 : x
  2. Step 2: Convert to fraction form
    478,092.60/716,971.77 = 141,043.80/x
  3. Step 3: Cross multiply
    478,092.60x = 716,971.77 × 141,043.80
  4. Step 4: Simplify right side
    478,092.60x = 101,124,422,933.53
  5. Step 5: Solve for x
    x = 101,124,422,933.53/478,092.60
  6. Step 6: Final answer
    x = 211,516.39

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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.