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Finding the Fourth Proportional to 447,347.50, 617,136.13 and 265,956.50

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Solution

The fourth proportional to 447,347.50, 617,136.13 and 265,956.50 is: 366,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,347.50 : 617,136.13 = 265,956.50 : x
  2. Step 2: Convert to fraction form
    447,347.50/617,136.13 = 265,956.50/x
  3. Step 3: Cross multiply
    447,347.50x = 617,136.13 × 265,956.50
  4. Step 4: Simplify right side
    447,347.50x = 164,131,367,033.63
  5. Step 5: Solve for x
    x = 164,131,367,033.63/447,347.50
  6. Step 6: Final answer
    x = 366,899.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.