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Finding the Fourth Proportional to 375,756.36, 518,555.72 and 205,989

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Solution

The fourth proportional to 375,756.36, 518,555.72 and 205,989 is: 284,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,756.36 : 518,555.72 = 205,989 : x
  2. Step 2: Convert to fraction form
    375,756.36/518,555.72 = 205,989/x
  3. Step 3: Cross multiply
    375,756.36x = 518,555.72 × 205,989
  4. Step 4: Simplify right side
    375,756.36x = 106,816,774,207.08
  5. Step 5: Solve for x
    x = 106,816,774,207.08/375,756.36
  6. Step 6: Final answer
    x = 284,271.37

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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.