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Finding the Fourth Proportional to 313,727.94, 432,926.78 and 170,487

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Solution

The fourth proportional to 313,727.94, 432,926.78 and 170,487 is: 235,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,727.94 : 432,926.78 = 170,487 : x
  2. Step 2: Convert to fraction form
    313,727.94/432,926.78 = 170,487/x
  3. Step 3: Cross multiply
    313,727.94x = 432,926.78 × 170,487
  4. Step 4: Simplify right side
    313,727.94x = 73,808,387,089.43
  5. Step 5: Solve for x
    x = 73,808,387,089.43/313,727.94
  6. Step 6: Final answer
    x = 235,262.40

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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.