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Finding the Fourth Proportional to 411,092.10, 616,638.15 and 201,140.10

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Solution

The fourth proportional to 411,092.10, 616,638.15 and 201,140.10 is: 301,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,092.10 : 616,638.15 = 201,140.10 : x
  2. Step 2: Convert to fraction form
    411,092.10/616,638.15 = 201,140.10/x
  3. Step 3: Cross multiply
    411,092.10x = 616,638.15 × 201,140.10
  4. Step 4: Simplify right side
    411,092.10x = 124,030,659,154.82
  5. Step 5: Solve for x
    x = 124,030,659,154.82/411,092.10
  6. Step 6: Final answer
    x = 301,710.15

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1.5x scale

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.