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Finding the Fourth Proportional to 411,491.81, 617,348.65 and 171,525.96

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Solution

The fourth proportional to 411,491.81, 617,348.65 and 171,525.96 is: 257,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,491.81 : 617,348.65 = 171,525.96 : x
  2. Step 2: Convert to fraction form
    411,491.81/617,348.65 = 171,525.96/x
  3. Step 3: Cross multiply
    411,491.81x = 617,348.65 × 171,525.96
  4. Step 4: Simplify right side
    411,491.81x = 105,891,316,656.36
  5. Step 5: Solve for x
    x = 105,891,316,656.36/411,491.81
  6. Step 6: Final answer
    x = 257,335.18

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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.