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Finding the Fourth Proportional to 5,170,494.72, 7,748,482.58 and 4,086,240.27

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Solution

The fourth proportional to 5,170,494.72, 7,748,482.58 and 4,086,240.27 is: 6,123,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170,494.72 : 7,748,482.58 = 4,086,240.27 : x
  2. Step 2: Convert to fraction form
    5,170,494.72/7,748,482.58 = 4,086,240.27/x
  3. Step 3: Cross multiply
    5,170,494.72x = 7,748,482.58 × 4,086,240.27
  4. Step 4: Simplify right side
    5,170,494.72x = 31,662,161,549,789.50
  5. Step 5: Solve for x
    x = 31,662,161,549,789.50/5,170,494.72
  6. Step 6: Final answer
    x = 6,123,623.22

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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.