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Finding the Fourth Proportional to 471,302.58, 706,847.34 and 134,335.98

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Solution

The fourth proportional to 471,302.58, 706,847.34 and 134,335.98 is: 201,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,302.58 : 706,847.34 = 134,335.98 : x
  2. Step 2: Convert to fraction form
    471,302.58/706,847.34 = 134,335.98/x
  3. Step 3: Cross multiply
    471,302.58x = 706,847.34 × 134,335.98
  4. Step 4: Simplify right side
    471,302.58x = 94,955,030,129.29
  5. Step 5: Solve for x
    x = 94,955,030,129.29/471,302.58
  6. Step 6: Final answer
    x = 201,473.61

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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.