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Finding the Fourth Proportional to 333,721.80, 500,534.10 and 97,039.80

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Solution

The fourth proportional to 333,721.80, 500,534.10 and 97,039.80 is: 145,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,721.80 : 500,534.10 = 97,039.80 : x
  2. Step 2: Convert to fraction form
    333,721.80/500,534.10 = 97,039.80/x
  3. Step 3: Cross multiply
    333,721.80x = 500,534.10 × 97,039.80
  4. Step 4: Simplify right side
    333,721.80x = 48,571,728,957.18
  5. Step 5: Solve for x
    x = 48,571,728,957.18/333,721.80
  6. Step 6: Final answer
    x = 145,545.57

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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.