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Finding the Fourth Proportional to 509,200.68, 702,117.16 and 325,191.36

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Solution

The fourth proportional to 509,200.68, 702,117.16 and 325,191.36 is: 448,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,200.68 : 702,117.16 = 325,191.36 : x
  2. Step 2: Convert to fraction form
    509,200.68/702,117.16 = 325,191.36/x
  3. Step 3: Cross multiply
    509,200.68x = 702,117.16 × 325,191.36
  4. Step 4: Simplify right side
    509,200.68x = 228,322,434,139.74
  5. Step 5: Solve for x
    x = 228,322,434,139.74/509,200.68
  6. Step 6: Final answer
    x = 448,393.81

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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.