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Finding the Fourth Proportional to 420,004.40, 574,969 and 417,002.72

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Solution

The fourth proportional to 420,004.40, 574,969 and 417,002.72 is: 570,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,004.40 : 574,969 = 417,002.72 : x
  2. Step 2: Convert to fraction form
    420,004.40/574,969 = 417,002.72/x
  3. Step 3: Cross multiply
    420,004.40x = 574,969 × 417,002.72
  4. Step 4: Simplify right side
    420,004.40x = 239,763,636,915.68
  5. Step 5: Solve for x
    x = 239,763,636,915.68/420,004.40
  6. Step 6: Final answer
    x = 570,859.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.