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Finding the Fourth Proportional to 531,766.46, 733,840 and 290,054.23

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Solution

The fourth proportional to 531,766.46, 733,840 and 290,054.23 is: 400,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,766.46 : 733,840 = 290,054.23 : x
  2. Step 2: Convert to fraction form
    531,766.46/733,840 = 290,054.23/x
  3. Step 3: Cross multiply
    531,766.46x = 733,840 × 290,054.23
  4. Step 4: Simplify right side
    531,766.46x = 212,853,396,143.20
  5. Step 5: Solve for x
    x = 212,853,396,143.20/531,766.46
  6. Step 6: Final answer
    x = 400,276.08

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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.