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Finding the Fourth Proportional to 313,678.96, 432,914.04 and 186,355

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Solution

The fourth proportional to 313,678.96, 432,914.04 and 186,355 is: 257,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,678.96 : 432,914.04 = 186,355 : x
  2. Step 2: Convert to fraction form
    313,678.96/432,914.04 = 186,355/x
  3. Step 3: Cross multiply
    313,678.96x = 432,914.04 × 186,355
  4. Step 4: Simplify right side
    313,678.96x = 80,675,695,924.20
  5. Step 5: Solve for x
    x = 80,675,695,924.20/313,678.96
  6. Step 6: Final answer
    x = 257,191.93

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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.