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Finding the Fourth Proportional to 415,214.40, 622,821.60 and 411,715.20

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Solution

The fourth proportional to 415,214.40, 622,821.60 and 411,715.20 is: 617,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,214.40 : 622,821.60 = 411,715.20 : x
  2. Step 2: Convert to fraction form
    415,214.40/622,821.60 = 411,715.20/x
  3. Step 3: Cross multiply
    415,214.40x = 622,821.60 × 411,715.20
  4. Step 4: Simplify right side
    415,214.40x = 256,425,119,608.32
  5. Step 5: Solve for x
    x = 256,425,119,608.32/415,214.40
  6. Step 6: Final answer
    x = 617,572.80

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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.