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Finding the Fourth Proportional to 4,602,997.47, 6,904,245.72 and 1,408,123.65

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Solution

The fourth proportional to 4,602,997.47, 6,904,245.72 and 1,408,123.65 is: 2,112,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,997.47 : 6,904,245.72 = 1,408,123.65 : x
  2. Step 2: Convert to fraction form
    4,602,997.47/6,904,245.72 = 1,408,123.65/x
  3. Step 3: Cross multiply
    4,602,997.47x = 6,904,245.72 × 1,408,123.65
  4. Step 4: Simplify right side
    4,602,997.47x = 9,722,031,683,743.28
  5. Step 5: Solve for x
    x = 9,722,031,683,743.28/4,602,997.47
  6. Step 6: Final answer
    x = 2,112,108.85

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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.