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Finding the Fourth Proportional to 1,405,502, 2,108,647.16 and 564,644.24

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Solution

The fourth proportional to 1,405,502, 2,108,647.16 and 564,644.24 is: 847,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,502 : 2,108,647.16 = 564,644.24 : x
  2. Step 2: Convert to fraction form
    1,405,502/2,108,647.16 = 564,644.24/x
  3. Step 3: Cross multiply
    1,405,502x = 2,108,647.16 × 564,644.24
  4. Step 4: Simplify right side
    1,405,502x = 1,190,635,473,086.36
  5. Step 5: Solve for x
    x = 1,190,635,473,086.36/1,405,502
  6. Step 6: Final answer
    x = 847,124.71

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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.