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Finding the Fourth Proportional to 274,533.30, 411,812.71 and 97,058.25

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Solution

The fourth proportional to 274,533.30, 411,812.71 and 97,058.25 is: 145,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,533.30 : 411,812.71 = 97,058.25 : x
  2. Step 2: Convert to fraction form
    274,533.30/411,812.71 = 97,058.25/x
  3. Step 3: Cross multiply
    274,533.30x = 411,812.71 × 97,058.25
  4. Step 4: Simplify right side
    274,533.30x = 39,969,820,717.71
  5. Step 5: Solve for x
    x = 39,969,820,717.71/274,533.30
  6. Step 6: Final answer
    x = 145,591.89

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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.