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Finding the Fourth Proportional to 365,812.75, 548,817.72 and 152,509.78

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Solution

The fourth proportional to 365,812.75, 548,817.72 and 152,509.78 is: 228,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,812.75 : 548,817.72 = 152,509.78 : x
  2. Step 2: Convert to fraction form
    365,812.75/548,817.72 = 152,509.78/x
  3. Step 3: Cross multiply
    365,812.75x = 548,817.72 × 152,509.78
  4. Step 4: Simplify right side
    365,812.75x = 83,700,069,737.30
  5. Step 5: Solve for x
    x = 83,700,069,737.30/365,812.75
  6. Step 6: Final answer
    x = 228,805.77

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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.