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Finding the Fourth Proportional to 476,307.88, 714,418.35 and 160,767.52

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Solution

The fourth proportional to 476,307.88, 714,418.35 and 160,767.52 is: 241,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,307.88 : 714,418.35 = 160,767.52 : x
  2. Step 2: Convert to fraction form
    476,307.88/714,418.35 = 160,767.52/x
  3. Step 3: Cross multiply
    476,307.88x = 714,418.35 × 160,767.52
  4. Step 4: Simplify right side
    476,307.88x = 114,855,266,371.99
  5. Step 5: Solve for x
    x = 114,855,266,371.99/476,307.88
  6. Step 6: Final answer
    x = 241,136.61

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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.