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Finding the Fourth Proportional to 385,062.81, 531,384.96 and 215,296.94

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Solution

The fourth proportional to 385,062.81, 531,384.96 and 215,296.94 is: 297,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,062.81 : 531,384.96 = 215,296.94 : x
  2. Step 2: Convert to fraction form
    385,062.81/531,384.96 = 215,296.94/x
  3. Step 3: Cross multiply
    385,062.81x = 531,384.96 × 215,296.94
  4. Step 4: Simplify right side
    385,062.81x = 114,405,553,785.76
  5. Step 5: Solve for x
    x = 114,405,553,785.76/385,062.81
  6. Step 6: Final answer
    x = 297,108.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.