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Finding the Fourth Proportional to 457,233.90, 684,295.65 and 401,246.70

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Solution

The fourth proportional to 457,233.90, 684,295.65 and 401,246.70 is: 600,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,233.90 : 684,295.65 = 401,246.70 : x
  2. Step 2: Convert to fraction form
    457,233.90/684,295.65 = 401,246.70/x
  3. Step 3: Cross multiply
    457,233.90x = 684,295.65 × 401,246.70
  4. Step 4: Simplify right side
    457,233.90x = 274,571,371,386.86
  5. Step 5: Solve for x
    x = 274,571,371,386.86/457,233.90
  6. Step 6: Final answer
    x = 600,505.28

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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.