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Finding the Fourth Proportional to 471,513.32, 707,270.56 and 116,521.90

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Solution

The fourth proportional to 471,513.32, 707,270.56 and 116,521.90 is: 174,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,513.32 : 707,270.56 = 116,521.90 : x
  2. Step 2: Convert to fraction form
    471,513.32/707,270.56 = 116,521.90/x
  3. Step 3: Cross multiply
    471,513.32x = 707,270.56 × 116,521.90
  4. Step 4: Simplify right side
    471,513.32x = 82,412,509,465.26
  5. Step 5: Solve for x
    x = 82,412,509,465.26/471,513.32
  6. Step 6: Final answer
    x = 174,782.99

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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.