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Finding the Fourth Proportional to 299,386.56, 413,143.11 and 178,465.50

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Solution

The fourth proportional to 299,386.56, 413,143.11 and 178,465.50 is: 246,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,386.56 : 413,143.11 = 178,465.50 : x
  2. Step 2: Convert to fraction form
    299,386.56/413,143.11 = 178,465.50/x
  3. Step 3: Cross multiply
    299,386.56x = 413,143.11 × 178,465.50
  4. Step 4: Simplify right side
    299,386.56x = 73,731,791,697.71
  5. Step 5: Solve for x
    x = 73,731,791,697.71/299,386.56
  6. Step 6: Final answer
    x = 246,276.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.