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Finding the Fourth Proportional to 471,607.30, 707,193.06 and 151,699.83

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Solution

The fourth proportional to 471,607.30, 707,193.06 and 151,699.83 is: 227,479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,607.30 : 707,193.06 = 151,699.83 : x
  2. Step 2: Convert to fraction form
    471,607.30/707,193.06 = 151,699.83/x
  3. Step 3: Cross multiply
    471,607.30x = 707,193.06 × 151,699.83
  4. Step 4: Simplify right side
    471,607.30x = 107,281,066,979.18
  5. Step 5: Solve for x
    x = 107,281,066,979.18/471,607.30
  6. Step 6: Final answer
    x = 227,479.66

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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.