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Finding the Fourth Proportional to 531,767.46, 733,841.38 and 290,055.23

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Solution

The fourth proportional to 531,767.46, 733,841.38 and 290,055.23 is: 400,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,767.46 : 733,841.38 = 290,055.23 : x
  2. Step 2: Convert to fraction form
    531,767.46/733,841.38 = 290,055.23/x
  3. Step 3: Cross multiply
    531,767.46x = 733,841.38 × 290,055.23
  4. Step 4: Simplify right side
    531,767.46x = 212,854,530,259.42
  5. Step 5: Solve for x
    x = 212,854,530,259.42/531,767.46
  6. Step 6: Final answer
    x = 400,277.46

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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.