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Finding the Fourth Proportional to 363,409, 545,070.56 and 97,190.14

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Solution

The fourth proportional to 363,409, 545,070.56 and 97,190.14 is: 145,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,409 : 545,070.56 = 97,190.14 : x
  2. Step 2: Convert to fraction form
    363,409/545,070.56 = 97,190.14/x
  3. Step 3: Cross multiply
    363,409x = 545,070.56 × 97,190.14
  4. Step 4: Simplify right side
    363,409x = 52,975,484,036.28
  5. Step 5: Solve for x
    x = 52,975,484,036.28/363,409
  6. Step 6: Final answer
    x = 145,773.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.