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Finding the Fourth Proportional to 313,562.30, 432,718.19 and 170,322.31

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Solution

The fourth proportional to 313,562.30, 432,718.19 and 170,322.31 is: 235,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,562.30 : 432,718.19 = 170,322.31 : x
  2. Step 2: Convert to fraction form
    313,562.30/432,718.19 = 170,322.31/x
  3. Step 3: Cross multiply
    313,562.30x = 432,718.19 × 170,322.31
  4. Step 4: Simplify right side
    313,562.30x = 73,701,561,699.82
  5. Step 5: Solve for x
    x = 73,701,561,699.82/313,562.30
  6. Step 6: Final answer
    x = 235,045.99

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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.