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Finding the Fourth Proportional to 284,351.76, 426,526.41 and 115,834.50

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Solution

The fourth proportional to 284,351.76, 426,526.41 and 115,834.50 is: 173,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,351.76 : 426,526.41 = 115,834.50 : x
  2. Step 2: Convert to fraction form
    284,351.76/426,526.41 = 115,834.50/x
  3. Step 3: Cross multiply
    284,351.76x = 426,526.41 × 115,834.50
  4. Step 4: Simplify right side
    284,351.76x = 49,406,473,439.15
  5. Step 5: Solve for x
    x = 49,406,473,439.15/284,351.76
  6. Step 6: Final answer
    x = 173,751.25

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1.5x scale

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.