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Finding the Fourth Proportional to 273,782.67, 409,813.65 and 174,055.47

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Solution

The fourth proportional to 273,782.67, 409,813.65 and 174,055.47 is: 260,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,782.67 : 409,813.65 = 174,055.47 : x
  2. Step 2: Convert to fraction form
    273,782.67/409,813.65 = 174,055.47/x
  3. Step 3: Cross multiply
    273,782.67x = 409,813.65 × 174,055.47
  4. Step 4: Simplify right side
    273,782.67x = 71,330,307,463.17
  5. Step 5: Solve for x
    x = 71,330,307,463.17/273,782.67
  6. Step 6: Final answer
    x = 260,536.24

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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.