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Finding the Fourth Proportional to 411,414.80, 567,804.94 and 230,136.80

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Solution

The fourth proportional to 411,414.80, 567,804.94 and 230,136.80 is: 317,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,414.80 : 567,804.94 = 230,136.80 : x
  2. Step 2: Convert to fraction form
    411,414.80/567,804.94 = 230,136.80/x
  3. Step 3: Cross multiply
    411,414.80x = 567,804.94 × 230,136.80
  4. Step 4: Simplify right side
    411,414.80x = 130,672,808,501.43
  5. Step 5: Solve for x
    x = 130,672,808,501.43/411,414.80
  6. Step 6: Final answer
    x = 317,618.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.