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Finding the Fourth Proportional to 471,602.16, 707,162.91 and 231,732

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Solution

The fourth proportional to 471,602.16, 707,162.91 and 231,732 is: 347,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,602.16 : 707,162.91 = 231,732 : x
  2. Step 2: Convert to fraction form
    471,602.16/707,162.91 = 231,732/x
  3. Step 3: Cross multiply
    471,602.16x = 707,162.91 × 231,732
  4. Step 4: Simplify right side
    471,602.16x = 163,872,275,460.12
  5. Step 5: Solve for x
    x = 163,872,275,460.12/471,602.16
  6. Step 6: Final answer
    x = 347,479.91

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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.