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Finding the Fourth Proportional to 5,198,980.29, 7,795,468.71 and 1,603,781.93

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Solution

The fourth proportional to 5,198,980.29, 7,795,468.71 and 1,603,781.93 is: 2,404,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198,980.29 : 7,795,468.71 = 1,603,781.93 : x
  2. Step 2: Convert to fraction form
    5,198,980.29/7,795,468.71 = 1,603,781.93/x
  3. Step 3: Cross multiply
    5,198,980.29x = 7,795,468.71 × 1,603,781.93
  4. Step 4: Simplify right side
    5,198,980.29x = 12,502,231,814,001.07
  5. Step 5: Solve for x
    x = 12,502,231,814,001.07/5,198,980.29
  6. Step 6: Final answer
    x = 2,404,746.92

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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.