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Finding the Fourth Proportional to 284,706.62, 426,973.67 and 149,697.95

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Solution

The fourth proportional to 284,706.62, 426,973.67 and 149,697.95 is: 224,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,706.62 : 426,973.67 = 149,697.95 : x
  2. Step 2: Convert to fraction form
    284,706.62/426,973.67 = 149,697.95/x
  3. Step 3: Cross multiply
    284,706.62x = 426,973.67 × 149,697.95
  4. Step 4: Simplify right side
    284,706.62x = 63,917,081,771.34
  5. Step 5: Solve for x
    x = 63,917,081,771.34/284,706.62
  6. Step 6: Final answer
    x = 224,501.56

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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.