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Finding the Fourth Proportional to 645,372, 968,058 and 307,388.16

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Solution

The fourth proportional to 645,372, 968,058 and 307,388.16 is: 461,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,372 : 968,058 = 307,388.16 : x
  2. Step 2: Convert to fraction form
    645,372/968,058 = 307,388.16/x
  3. Step 3: Cross multiply
    645,372x = 968,058 × 307,388.16
  4. Step 4: Simplify right side
    645,372x = 297,569,567,393.28
  5. Step 5: Solve for x
    x = 297,569,567,393.28/645,372
  6. Step 6: Final answer
    x = 461,082.24

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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.