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Finding the Fourth Proportional to 411,602.93, 617,404.40 and 271,328.75

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Solution

The fourth proportional to 411,602.93, 617,404.40 and 271,328.75 is: 406,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,602.93 : 617,404.40 = 271,328.75 : x
  2. Step 2: Convert to fraction form
    411,602.93/617,404.40 = 271,328.75/x
  3. Step 3: Cross multiply
    411,602.93x = 617,404.40 × 271,328.75
  4. Step 4: Simplify right side
    411,602.93x = 167,519,564,096.50
  5. Step 5: Solve for x
    x = 167,519,564,096.50/411,602.93
  6. Step 6: Final answer
    x = 406,993.13

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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.