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Finding the Fourth Proportional to 893,264.16, 1,339,874.10 and 219,339.84

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Solution

The fourth proportional to 893,264.16, 1,339,874.10 and 219,339.84 is: 329,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,264.16 : 1,339,874.10 = 219,339.84 : x
  2. Step 2: Convert to fraction form
    893,264.16/1,339,874.10 = 219,339.84/x
  3. Step 3: Cross multiply
    893,264.16x = 1,339,874.10 × 219,339.84
  4. Step 4: Simplify right side
    893,264.16x = 293,887,770,714.14
  5. Step 5: Solve for x
    x = 293,887,770,714.14/893,264.16
  6. Step 6: Final answer
    x = 329,004.32

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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.