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Finding the Fourth Proportional to 586,181.64, 878,681.70 and 231,058.20

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Solution

The fourth proportional to 586,181.64, 878,681.70 and 231,058.20 is: 346,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,181.64 : 878,681.70 = 231,058.20 : x
  2. Step 2: Convert to fraction form
    586,181.64/878,681.70 = 231,058.20/x
  3. Step 3: Cross multiply
    586,181.64x = 878,681.70 × 231,058.20
  4. Step 4: Simplify right side
    586,181.64x = 203,026,611,974.94
  5. Step 5: Solve for x
    x = 203,026,611,974.94/586,181.64
  6. Step 6: Final answer
    x = 346,354.44

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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.