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Finding the Fourth Proportional to 540,932.23, 746,477.25 and 299,214.60

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Solution

The fourth proportional to 540,932.23, 746,477.25 and 299,214.60 is: 412,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,932.23 : 746,477.25 = 299,214.60 : x
  2. Step 2: Convert to fraction form
    540,932.23/746,477.25 = 299,214.60/x
  3. Step 3: Cross multiply
    540,932.23x = 746,477.25 × 299,214.60
  4. Step 4: Simplify right side
    540,932.23x = 223,356,891,767.85
  5. Step 5: Solve for x
    x = 223,356,891,767.85/540,932.23
  6. Step 6: Final answer
    x = 412,911.05

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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.