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Finding the Fourth Proportional to 471,600.66, 707,160.66 and 231,730.50

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Solution

The fourth proportional to 471,600.66, 707,160.66 and 231,730.50 is: 347,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,600.66 : 707,160.66 = 231,730.50 : x
  2. Step 2: Convert to fraction form
    471,600.66/707,160.66 = 231,730.50/x
  3. Step 3: Cross multiply
    471,600.66x = 707,160.66 × 231,730.50
  4. Step 4: Simplify right side
    471,600.66x = 163,870,693,322.13
  5. Step 5: Solve for x
    x = 163,870,693,322.13/471,600.66
  6. Step 6: Final answer
    x = 347,477.66

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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.