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Finding the Fourth Proportional to 333,998.40, 501,016.80 and 97,377.60

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Solution

The fourth proportional to 333,998.40, 501,016.80 and 97,377.60 is: 146,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,998.40 : 501,016.80 = 97,377.60 : x
  2. Step 2: Convert to fraction form
    333,998.40/501,016.80 = 97,377.60/x
  3. Step 3: Cross multiply
    333,998.40x = 501,016.80 × 97,377.60
  4. Step 4: Simplify right side
    333,998.40x = 48,787,813,543.68
  5. Step 5: Solve for x
    x = 48,787,813,543.68/333,998.40
  6. Step 6: Final answer
    x = 146,072.00

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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.