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Finding the Fourth Proportional to 654,136.30, 913,691.30 and 654,136.30

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Solution

The fourth proportional to 654,136.30, 913,691.30 and 654,136.30 is: 913,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,136.30 : 913,691.30 = 654,136.30 : x
  2. Step 2: Convert to fraction form
    654,136.30/913,691.30 = 654,136.30/x
  3. Step 3: Cross multiply
    654,136.30x = 913,691.30 × 654,136.30
  4. Step 4: Simplify right side
    654,136.30x = 597,678,646,324.19
  5. Step 5: Solve for x
    x = 597,678,646,324.19/654,136.30
  6. Step 6: Final answer
    x = 913,691.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.