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Finding the Fourth Proportional to 456,257.01, 684,327.18 and 189,967.89

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Solution

The fourth proportional to 456,257.01, 684,327.18 and 189,967.89 is: 284,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,257.01 : 684,327.18 = 189,967.89 : x
  2. Step 2: Convert to fraction form
    456,257.01/684,327.18 = 189,967.89/x
  3. Step 3: Cross multiply
    456,257.01x = 684,327.18 × 189,967.89
  4. Step 4: Simplify right side
    456,257.01x = 130,000,190,454.25
  5. Step 5: Solve for x
    x = 130,000,190,454.25/456,257.01
  6. Step 6: Final answer
    x = 284,927.55

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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.