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Finding the Fourth Proportional to 506,164.08, 759,092.74 and 266,148.64

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Solution

The fourth proportional to 506,164.08, 759,092.74 and 266,148.64 is: 399,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,164.08 : 759,092.74 = 266,148.64 : x
  2. Step 2: Convert to fraction form
    506,164.08/759,092.74 = 266,148.64/x
  3. Step 3: Cross multiply
    506,164.08x = 759,092.74 × 266,148.64
  4. Step 4: Simplify right side
    506,164.08x = 202,031,500,384.87
  5. Step 5: Solve for x
    x = 202,031,500,384.87/506,164.08
  6. Step 6: Final answer
    x = 399,142.31

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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.