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Finding the Fourth Proportional to 5,300,854.91, 7,950,335.82 and 1,410,334.40

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Solution

The fourth proportional to 5,300,854.91, 7,950,335.82 and 1,410,334.40 is: 2,115,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,854.91 : 7,950,335.82 = 1,410,334.40 : x
  2. Step 2: Convert to fraction form
    5,300,854.91/7,950,335.82 = 1,410,334.40/x
  3. Step 3: Cross multiply
    5,300,854.91x = 7,950,335.82 × 1,410,334.40
  4. Step 4: Simplify right side
    5,300,854.91x = 11,212,632,058,746.53
  5. Step 5: Solve for x
    x = 11,212,632,058,746.53/5,300,854.91
  6. Step 6: Final answer
    x = 2,115,249.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.