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Finding the Fourth Proportional to 333,874.71, 500,812.88 and 97,223.13

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Solution

The fourth proportional to 333,874.71, 500,812.88 and 97,223.13 is: 145,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,874.71 : 500,812.88 = 97,223.13 : x
  2. Step 2: Convert to fraction form
    333,874.71/500,812.88 = 97,223.13/x
  3. Step 3: Cross multiply
    333,874.71x = 500,812.88 × 97,223.13
  4. Step 4: Simplify right side
    333,874.71x = 48,690,595,251.80
  5. Step 5: Solve for x
    x = 48,690,595,251.80/333,874.71
  6. Step 6: Final answer
    x = 145,834.93

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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.