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Finding the Fourth Proportional to 971,644.20, 1,457,466.30 and 411,311.40

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Solution

The fourth proportional to 971,644.20, 1,457,466.30 and 411,311.40 is: 616,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,644.20 : 1,457,466.30 = 411,311.40 : x
  2. Step 2: Convert to fraction form
    971,644.20/1,457,466.30 = 411,311.40/x
  3. Step 3: Cross multiply
    971,644.20x = 1,457,466.30 × 411,311.40
  4. Step 4: Simplify right side
    971,644.20x = 599,472,504,305.82
  5. Step 5: Solve for x
    x = 599,472,504,305.82/971,644.20
  6. Step 6: Final answer
    x = 616,967.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.