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Finding the Fourth Proportional to 346,491.50, 519,737.26 and 83,835.50

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Solution

The fourth proportional to 346,491.50, 519,737.26 and 83,835.50 is: 125,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,491.50 : 519,737.26 = 83,835.50 : x
  2. Step 2: Convert to fraction form
    346,491.50/519,737.26 = 83,835.50/x
  3. Step 3: Cross multiply
    346,491.50x = 519,737.26 × 83,835.50
  4. Step 4: Simplify right side
    346,491.50x = 43,572,433,060.73
  5. Step 5: Solve for x
    x = 43,572,433,060.73/346,491.50
  6. Step 6: Final answer
    x = 125,753.25

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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.