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Finding the Fourth Proportional to 1,303,781.64, 1,799,213.01 and 730,821.82

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Solution

The fourth proportional to 1,303,781.64, 1,799,213.01 and 730,821.82 is: 1,008,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303,781.64 : 1,799,213.01 = 730,821.82 : x
  2. Step 2: Convert to fraction form
    1,303,781.64/1,799,213.01 = 730,821.82/x
  3. Step 3: Cross multiply
    1,303,781.64x = 1,799,213.01 × 730,821.82
  4. Step 4: Simplify right side
    1,303,781.64x = 1,314,904,117,610.50
  5. Step 5: Solve for x
    x = 1,314,904,117,610.50/1,303,781.64
  6. Step 6: Final answer
    x = 1,008,530.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.