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Finding the Fourth Proportional to 411,091.10, 616,636.65 and 201,139.10

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Solution

The fourth proportional to 411,091.10, 616,636.65 and 201,139.10 is: 301,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,091.10 : 616,636.65 = 201,139.10 : x
  2. Step 2: Convert to fraction form
    411,091.10/616,636.65 = 201,139.10/x
  3. Step 3: Cross multiply
    411,091.10x = 616,636.65 × 201,139.10
  4. Step 4: Simplify right side
    411,091.10x = 124,029,740,808.02
  5. Step 5: Solve for x
    x = 124,029,740,808.02/411,091.10
  6. Step 6: Final answer
    x = 301,708.65

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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.