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Finding the Fourth Proportional to 505,541.98, 697,642.14 and 290,682.90

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Solution

The fourth proportional to 505,541.98, 697,642.14 and 290,682.90 is: 401,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,541.98 : 697,642.14 = 290,682.90 : x
  2. Step 2: Convert to fraction form
    505,541.98/697,642.14 = 290,682.90/x
  3. Step 3: Cross multiply
    505,541.98x = 697,642.14 × 290,682.90
  4. Step 4: Simplify right side
    505,541.98x = 202,792,640,417.41
  5. Step 5: Solve for x
    x = 202,792,640,417.41/505,541.98
  6. Step 6: Final answer
    x = 401,139.07

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