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Finding the Fourth Proportional to 1,352,598, 2,029,208.03 and 405,986.64

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Solution

The fourth proportional to 1,352,598, 2,029,208.03 and 405,986.64 is: 609,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352,598 : 2,029,208.03 = 405,986.64 : x
  2. Step 2: Convert to fraction form
    1,352,598/2,029,208.03 = 405,986.64/x
  3. Step 3: Cross multiply
    1,352,598x = 2,029,208.03 × 405,986.64
  4. Step 4: Simplify right side
    1,352,598x = 823,831,349,960.72
  5. Step 5: Solve for x
    x = 823,831,349,960.72/1,352,598
  6. Step 6: Final answer
    x = 609,073.32

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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.