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Finding the Fourth Proportional to 531,886.17, 733,988.35 and 290,168.68

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Solution

The fourth proportional to 531,886.17, 733,988.35 and 290,168.68 is: 400,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,886.17 : 733,988.35 = 290,168.68 : x
  2. Step 2: Convert to fraction form
    531,886.17/733,988.35 = 290,168.68/x
  3. Step 3: Cross multiply
    531,886.17x = 733,988.35 × 290,168.68
  4. Step 4: Simplify right side
    531,886.17x = 212,980,430,654.88
  5. Step 5: Solve for x
    x = 212,980,430,654.88/531,886.17
  6. Step 6: Final answer
    x = 400,424.83

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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.