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Finding the Fourth Proportional to 577,434.64, 866,405.16 and 274,047.92

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Solution

The fourth proportional to 577,434.64, 866,405.16 and 274,047.92 is: 411,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,434.64 : 866,405.16 = 274,047.92 : x
  2. Step 2: Convert to fraction form
    577,434.64/866,405.16 = 274,047.92/x
  3. Step 3: Cross multiply
    577,434.64x = 866,405.16 × 274,047.92
  4. Step 4: Simplify right side
    577,434.64x = 237,436,531,975.27
  5. Step 5: Solve for x
    x = 237,436,531,975.27/577,434.64
  6. Step 6: Final answer
    x = 411,192.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.