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Finding the Fourth Proportional to 313,657.60, 432,849.42 and 170,417.56

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Solution

The fourth proportional to 313,657.60, 432,849.42 and 170,417.56 is: 235,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,657.60 : 432,849.42 = 170,417.56 : x
  2. Step 2: Convert to fraction form
    313,657.60/432,849.42 = 170,417.56/x
  3. Step 3: Cross multiply
    313,657.60x = 432,849.42 × 170,417.56
  4. Step 4: Simplify right side
    313,657.60x = 73,765,142,003.82
  5. Step 5: Solve for x
    x = 73,765,142,003.82/313,657.60
  6. Step 6: Final answer
    x = 235,177.28

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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.