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Finding the Fourth Proportional to 284,048.52, 425,666.70 and 208,576.50

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Solution

The fourth proportional to 284,048.52, 425,666.70 and 208,576.50 is: 312,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,048.52 : 425,666.70 = 208,576.50 : x
  2. Step 2: Convert to fraction form
    284,048.52/425,666.70 = 208,576.50/x
  3. Step 3: Cross multiply
    284,048.52x = 425,666.70 × 208,576.50
  4. Step 4: Simplify right side
    284,048.52x = 88,784,070,452.55
  5. Step 5: Solve for x
    x = 88,784,070,452.55/284,048.52
  6. Step 6: Final answer
    x = 312,566.57

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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.