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Finding the Fourth Proportional to 412,565, 569,339.70 and 233,717

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Solution

The fourth proportional to 412,565, 569,339.70 and 233,717 is: 322,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,565 : 569,339.70 = 233,717 : x
  2. Step 2: Convert to fraction form
    412,565/569,339.70 = 233,717/x
  3. Step 3: Cross multiply
    412,565x = 569,339.70 × 233,717
  4. Step 4: Simplify right side
    412,565x = 133,064,366,664.90
  5. Step 5: Solve for x
    x = 133,064,366,664.90/412,565
  6. Step 6: Final answer
    x = 322,529.46

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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.