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Finding the Fourth Proportional to 274,685.04, 411,289.31 and 174,301.74

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Solution

The fourth proportional to 274,685.04, 411,289.31 and 174,301.74 is: 260,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,685.04 : 411,289.31 = 174,301.74 : x
  2. Step 2: Convert to fraction form
    274,685.04/411,289.31 = 174,301.74/x
  3. Step 3: Cross multiply
    274,685.04x = 411,289.31 × 174,301.74
  4. Step 4: Simplify right side
    274,685.04x = 71,688,442,812.15
  5. Step 5: Solve for x
    x = 71,688,442,812.15/274,685.04
  6. Step 6: Final answer
    x = 260,984.15

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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.