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Finding the Fourth Proportional to 506,484.66, 759,446.46 and 207,175.41

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Solution

The fourth proportional to 506,484.66, 759,446.46 and 207,175.41 is: 310,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,484.66 : 759,446.46 = 207,175.41 : x
  2. Step 2: Convert to fraction form
    506,484.66/759,446.46 = 207,175.41/x
  3. Step 3: Cross multiply
    506,484.66x = 759,446.46 × 207,175.41
  4. Step 4: Simplify right side
    506,484.66x = 157,338,631,723.55
  5. Step 5: Solve for x
    x = 157,338,631,723.55/506,484.66
  6. Step 6: Final answer
    x = 310,648.37

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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.