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Finding the Fourth Proportional to 532,965, 799,447.56 and 138,981

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Solution

The fourth proportional to 532,965, 799,447.56 and 138,981 is: 208,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,965 : 799,447.56 = 138,981 : x
  2. Step 2: Convert to fraction form
    532,965/799,447.56 = 138,981/x
  3. Step 3: Cross multiply
    532,965x = 799,447.56 × 138,981
  4. Step 4: Simplify right side
    532,965x = 111,108,021,336.36
  5. Step 5: Solve for x
    x = 111,108,021,336.36/532,965
  6. Step 6: Final answer
    x = 208,471.52

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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.