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Finding the Fourth Proportional to 409,537, 614,305.50 and 114,049

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Solution

The fourth proportional to 409,537, 614,305.50 and 114,049 is: 171,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,537 : 614,305.50 = 114,049 : x
  2. Step 2: Convert to fraction form
    409,537/614,305.50 = 114,049/x
  3. Step 3: Cross multiply
    409,537x = 614,305.50 × 114,049
  4. Step 4: Simplify right side
    409,537x = 70,060,927,969.50
  5. Step 5: Solve for x
    x = 70,060,927,969.50/409,537
  6. Step 6: Final answer
    x = 171,073.50

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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.