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Finding the Fourth Proportional to 273,781.67, 409,812.15 and 174,054.47

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Solution

The fourth proportional to 273,781.67, 409,812.15 and 174,054.47 is: 260,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,781.67 : 409,812.15 = 174,054.47 : x
  2. Step 2: Convert to fraction form
    273,781.67/409,812.15 = 174,054.47/x
  3. Step 3: Cross multiply
    273,781.67x = 409,812.15 × 174,054.47
  4. Step 4: Simplify right side
    273,781.67x = 71,329,636,567.81
  5. Step 5: Solve for x
    x = 71,329,636,567.81/273,781.67
  6. Step 6: Final answer
    x = 260,534.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.