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Finding the Fourth Proportional to 384,846.07, 531,088.38 and 215,080.21

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Solution

The fourth proportional to 384,846.07, 531,088.38 and 215,080.21 is: 296,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,846.07 : 531,088.38 = 215,080.21 : x
  2. Step 2: Convert to fraction form
    384,846.07/531,088.38 = 215,080.21/x
  3. Step 3: Cross multiply
    384,846.07x = 531,088.38 × 215,080.21
  4. Step 4: Simplify right side
    384,846.07x = 114,226,600,298.96
  5. Step 5: Solve for x
    x = 114,226,600,298.96/384,846.07
  6. Step 6: Final answer
    x = 296,811.14

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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.