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Finding the Fourth Proportional to 538,467.09, 743,089.66 and 296,758.37

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Solution

The fourth proportional to 538,467.09, 743,089.66 and 296,758.37 is: 409,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,467.09 : 743,089.66 = 296,758.37 : x
  2. Step 2: Convert to fraction form
    538,467.09/743,089.66 = 296,758.37/x
  3. Step 3: Cross multiply
    538,467.09x = 743,089.66 × 296,758.37
  4. Step 4: Simplify right side
    538,467.09x = 220,518,071,808.11
  5. Step 5: Solve for x
    x = 220,518,071,808.11/538,467.09
  6. Step 6: Final answer
    x = 409,529.34

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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.