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Finding the Fourth Proportional to 611,809.62, 917,714.69 and 232,642.75

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Solution

The fourth proportional to 611,809.62, 917,714.69 and 232,642.75 is: 348,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,809.62 : 917,714.69 = 232,642.75 : x
  2. Step 2: Convert to fraction form
    611,809.62/917,714.69 = 232,642.75/x
  3. Step 3: Cross multiply
    611,809.62x = 917,714.69 × 232,642.75
  4. Step 4: Simplify right side
    611,809.62x = 213,499,669,197.00
  5. Step 5: Solve for x
    x = 213,499,669,197.00/611,809.62
  6. Step 6: Final answer
    x = 348,964.22

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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.