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Finding the Fourth Proportional to 322,472.95, 483,710.60 and 97,835.29

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Solution

The fourth proportional to 322,472.95, 483,710.60 and 97,835.29 is: 146,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,472.95 : 483,710.60 = 97,835.29 : x
  2. Step 2: Convert to fraction form
    322,472.95/483,710.60 = 97,835.29/x
  3. Step 3: Cross multiply
    322,472.95x = 483,710.60 × 97,835.29
  4. Step 4: Simplify right side
    322,472.95x = 47,323,966,827.07
  5. Step 5: Solve for x
    x = 47,323,966,827.07/322,472.95
  6. Step 6: Final answer
    x = 146,753.29

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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.