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Finding the Fourth Proportional to 442,165.16, 610,187.94 and 240,961

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Solution

The fourth proportional to 442,165.16, 610,187.94 and 240,961 is: 332,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,165.16 : 610,187.94 = 240,961 : x
  2. Step 2: Convert to fraction form
    442,165.16/610,187.94 = 240,961/x
  3. Step 3: Cross multiply
    442,165.16x = 610,187.94 × 240,961
  4. Step 4: Simplify right side
    442,165.16x = 147,031,496,210.34
  5. Step 5: Solve for x
    x = 147,031,496,210.34/442,165.16
  6. Step 6: Final answer
    x = 332,526.19

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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.