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Finding the Fourth Proportional to 471,348.32, 707,133.24 and 155,805.24

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Solution

The fourth proportional to 471,348.32, 707,133.24 and 155,805.24 is: 233,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,348.32 : 707,133.24 = 155,805.24 : x
  2. Step 2: Convert to fraction form
    471,348.32/707,133.24 = 155,805.24/x
  3. Step 3: Cross multiply
    471,348.32x = 707,133.24 × 155,805.24
  4. Step 4: Simplify right side
    471,348.32x = 110,175,064,170.18
  5. Step 5: Solve for x
    x = 110,175,064,170.18/471,348.32
  6. Step 6: Final answer
    x = 233,744.47

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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.