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Finding the Fourth Proportional to 580,023.36, 869,996.16 and 159,264

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Solution

The fourth proportional to 580,023.36, 869,996.16 and 159,264 is: 238,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,023.36 : 869,996.16 = 159,264 : x
  2. Step 2: Convert to fraction form
    580,023.36/869,996.16 = 159,264/x
  3. Step 3: Cross multiply
    580,023.36x = 869,996.16 × 159,264
  4. Step 4: Simplify right side
    580,023.36x = 138,559,068,426.24
  5. Step 5: Solve for x
    x = 138,559,068,426.24/580,023.36
  6. Step 6: Final answer
    x = 238,885.32

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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.