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Finding the Fourth Proportional to 4,978,486.22, 7,468,248.32 and 1,904,471.06

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Solution

The fourth proportional to 4,978,486.22, 7,468,248.32 and 1,904,471.06 is: 2,856,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978,486.22 : 7,468,248.32 = 1,904,471.06 : x
  2. Step 2: Convert to fraction form
    4,978,486.22/7,468,248.32 = 1,904,471.06/x
  3. Step 3: Cross multiply
    4,978,486.22x = 7,468,248.32 × 1,904,471.06
  4. Step 4: Simplify right side
    4,978,486.22x = 14,223,062,747,470.02
  5. Step 5: Solve for x
    x = 14,223,062,747,470.02/4,978,486.22
  6. Step 6: Final answer
    x = 2,856,905.12

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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.