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Finding the Fourth Proportional to 280,461, 420,691.50 and 83,469

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Solution

The fourth proportional to 280,461, 420,691.50 and 83,469 is: 125,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,461 : 420,691.50 = 83,469 : x
  2. Step 2: Convert to fraction form
    280,461/420,691.50 = 83,469/x
  3. Step 3: Cross multiply
    280,461x = 420,691.50 × 83,469
  4. Step 4: Simplify right side
    280,461x = 35,114,698,813.50
  5. Step 5: Solve for x
    x = 35,114,698,813.50/280,461
  6. Step 6: Final answer
    x = 125,203.50

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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.