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Finding the Fourth Proportional to 430,714.16, 594,391.20 and 237,144.40

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Solution

The fourth proportional to 430,714.16, 594,391.20 and 237,144.40 is: 327,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,714.16 : 594,391.20 = 237,144.40 : x
  2. Step 2: Convert to fraction form
    430,714.16/594,391.20 = 237,144.40/x
  3. Step 3: Cross multiply
    430,714.16x = 594,391.20 × 237,144.40
  4. Step 4: Simplify right side
    430,714.16x = 140,956,544,489.28
  5. Step 5: Solve for x
    x = 140,956,544,489.28/430,714.16
  6. Step 6: Final answer
    x = 327,262.39

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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.