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Finding the Fourth Proportional to 313,273.16, 469,507.44 and 142,370

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Solution

The fourth proportional to 313,273.16, 469,507.44 and 142,370 is: 213,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,273.16 : 469,507.44 = 142,370 : x
  2. Step 2: Convert to fraction form
    313,273.16/469,507.44 = 142,370/x
  3. Step 3: Cross multiply
    313,273.16x = 469,507.44 × 142,370
  4. Step 4: Simplify right side
    313,273.16x = 66,843,774,232.80
  5. Step 5: Solve for x
    x = 66,843,774,232.80/313,273.16
  6. Step 6: Final answer
    x = 213,372.17

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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.