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Finding the Fourth Proportional to 532,919.12, 735,449.80 and 306,564.56

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Solution

The fourth proportional to 532,919.12, 735,449.80 and 306,564.56 is: 423,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,919.12 : 735,449.80 = 306,564.56 : x
  2. Step 2: Convert to fraction form
    532,919.12/735,449.80 = 306,564.56/x
  3. Step 3: Cross multiply
    532,919.12x = 735,449.80 × 306,564.56
  4. Step 4: Simplify right side
    532,919.12x = 225,462,844,339.09
  5. Step 5: Solve for x
    x = 225,462,844,339.09/532,919.12
  6. Step 6: Final answer
    x = 423,071.41

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Why These Related Problems?

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