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Finding the Fourth Proportional to 471,507.91, 707,254.93 and 116,521.92

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Solution

The fourth proportional to 471,507.91, 707,254.93 and 116,521.92 is: 174,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,507.91 : 707,254.93 = 116,521.92 : x
  2. Step 2: Convert to fraction form
    471,507.91/707,254.93 = 116,521.92/x
  3. Step 3: Cross multiply
    471,507.91x = 707,254.93 × 116,521.92
  4. Step 4: Simplify right side
    471,507.91x = 82,410,702,373.07
  5. Step 5: Solve for x
    x = 82,410,702,373.07/471,507.91
  6. Step 6: Final answer
    x = 174,781.17

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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.