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Finding the Fourth Proportional to 407,493.60, 610,991.07 and 194,326.71

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Solution

The fourth proportional to 407,493.60, 610,991.07 and 194,326.71 is: 291,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,493.60 : 610,991.07 = 194,326.71 : x
  2. Step 2: Convert to fraction form
    407,493.60/610,991.07 = 194,326.71/x
  3. Step 3: Cross multiply
    407,493.60x = 610,991.07 × 194,326.71
  4. Step 4: Simplify right side
    407,493.60x = 118,731,881,452.54
  5. Step 5: Solve for x
    x = 118,731,881,452.54/407,493.60
  6. Step 6: Final answer
    x = 291,371.16

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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.