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Finding the Fourth Proportional to 274,686.04, 411,290.81 and 174,302.74

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Solution

The fourth proportional to 274,686.04, 411,290.81 and 174,302.74 is: 260,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,686.04 : 411,290.81 = 174,302.74 : x
  2. Step 2: Convert to fraction form
    274,686.04/411,290.81 = 174,302.74/x
  3. Step 3: Cross multiply
    274,686.04x = 411,290.81 × 174,302.74
  4. Step 4: Simplify right side
    274,686.04x = 71,689,115,119.82
  5. Step 5: Solve for x
    x = 71,689,115,119.82/274,686.04
  6. Step 6: Final answer
    x = 260,985.65

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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.