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Finding the Fourth Proportional to 471,295.83, 706,837.23 and 134,329.22

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Solution

The fourth proportional to 471,295.83, 706,837.23 and 134,329.22 is: 201,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,295.83 : 706,837.23 = 134,329.22 : x
  2. Step 2: Convert to fraction form
    471,295.83/706,837.23 = 134,329.22/x
  3. Step 3: Cross multiply
    471,295.83x = 706,837.23 × 134,329.22
  4. Step 4: Simplify right side
    471,295.83x = 94,948,890,238.67
  5. Step 5: Solve for x
    x = 94,948,890,238.67/471,295.83
  6. Step 6: Final answer
    x = 201,463.46

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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.