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Finding the Fourth Proportional to 298,714.36, 412,223.53 and 162,747.88

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Solution

The fourth proportional to 298,714.36, 412,223.53 and 162,747.88 is: 224,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,714.36 : 412,223.53 = 162,747.88 : x
  2. Step 2: Convert to fraction form
    298,714.36/412,223.53 = 162,747.88/x
  3. Step 3: Cross multiply
    298,714.36x = 412,223.53 × 162,747.88
  4. Step 4: Simplify right side
    298,714.36x = 67,088,506,780.10
  5. Step 5: Solve for x
    x = 67,088,506,780.10/298,714.36
  6. Step 6: Final answer
    x = 224,590.84

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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.