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Finding the Fourth Proportional to 494,645.82, 742,022.50 and 157,607.25

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Solution

The fourth proportional to 494,645.82, 742,022.50 and 157,607.25 is: 236,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,645.82 : 742,022.50 = 157,607.25 : x
  2. Step 2: Convert to fraction form
    494,645.82/742,022.50 = 157,607.25/x
  3. Step 3: Cross multiply
    494,645.82x = 742,022.50 × 157,607.25
  4. Step 4: Simplify right side
    494,645.82x = 116,948,125,663.13
  5. Step 5: Solve for x
    x = 116,948,125,663.13/494,645.82
  6. Step 6: Final answer
    x = 236,428.01

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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.