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Finding the Fourth Proportional to 333,813.76, 500,737.95 and 97,174.89

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Solution

The fourth proportional to 333,813.76, 500,737.95 and 97,174.89 is: 145,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,813.76 : 500,737.95 = 97,174.89 : x
  2. Step 2: Convert to fraction form
    333,813.76/500,737.95 = 97,174.89/x
  3. Step 3: Cross multiply
    333,813.76x = 500,737.95 × 97,174.89
  4. Step 4: Simplify right side
    333,813.76x = 48,659,155,210.08
  5. Step 5: Solve for x
    x = 48,659,155,210.08/333,813.76
  6. Step 6: Final answer
    x = 145,767.38

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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.