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Finding the Fourth Proportional to 471,539.76, 707,360.01 and 201,695.82

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Solution

The fourth proportional to 471,539.76, 707,360.01 and 201,695.82 is: 302,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,539.76 : 707,360.01 = 201,695.82 : x
  2. Step 2: Convert to fraction form
    471,539.76/707,360.01 = 201,695.82/x
  3. Step 3: Cross multiply
    471,539.76x = 707,360.01 × 201,695.82
  4. Step 4: Simplify right side
    471,539.76x = 142,671,553,843.20
  5. Step 5: Solve for x
    x = 142,671,553,843.20/471,539.76
  6. Step 6: Final answer
    x = 302,565.27

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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.