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Finding the Fourth Proportional to 411,092.70, 616,639.05 and 201,140.70

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Solution

The fourth proportional to 411,092.70, 616,639.05 and 201,140.70 is: 301,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,092.70 : 616,639.05 = 201,140.70 : x
  2. Step 2: Convert to fraction form
    411,092.70/616,639.05 = 201,140.70/x
  3. Step 3: Cross multiply
    411,092.70x = 616,639.05 × 201,140.70
  4. Step 4: Simplify right side
    411,092.70x = 124,031,210,164.34
  5. Step 5: Solve for x
    x = 124,031,210,164.34/411,092.70
  6. Step 6: Final answer
    x = 301,711.05

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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.