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Finding the Fourth Proportional to 314,398.44, 471,437.44 and 154,485

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Solution

The fourth proportional to 314,398.44, 471,437.44 and 154,485 is: 231,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,398.44 : 471,437.44 = 154,485 : x
  2. Step 2: Convert to fraction form
    314,398.44/471,437.44 = 154,485/x
  3. Step 3: Cross multiply
    314,398.44x = 471,437.44 × 154,485
  4. Step 4: Simplify right side
    314,398.44x = 72,830,012,918.40
  5. Step 5: Solve for x
    x = 72,830,012,918.40/314,398.44
  6. Step 6: Final answer
    x = 231,648.77

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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.