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Finding the Fourth Proportional to 436,227.14, 601,987.52 and 242,633

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Solution

The fourth proportional to 436,227.14, 601,987.52 and 242,633 is: 334,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,227.14 : 601,987.52 = 242,633 : x
  2. Step 2: Convert to fraction form
    436,227.14/601,987.52 = 242,633/x
  3. Step 3: Cross multiply
    436,227.14x = 601,987.52 × 242,633
  4. Step 4: Simplify right side
    436,227.14x = 146,062,037,940.16
  5. Step 5: Solve for x
    x = 146,062,037,940.16/436,227.14
  6. Step 6: Final answer
    x = 334,830.24

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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.