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Finding the Fourth Proportional to 313,658.25, 432,852.32 and 170,420.69

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Solution

The fourth proportional to 313,658.25, 432,852.32 and 170,420.69 is: 235,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,658.25 : 432,852.32 = 170,420.69 : x
  2. Step 2: Convert to fraction form
    313,658.25/432,852.32 = 170,420.69/x
  3. Step 3: Cross multiply
    313,658.25x = 432,852.32 × 170,420.69
  4. Step 4: Simplify right side
    313,658.25x = 73,766,988,026.14
  5. Step 5: Solve for x
    x = 73,766,988,026.14/313,658.25
  6. Step 6: Final answer
    x = 235,182.68

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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.