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Finding the Fourth Proportional to 729,004.74, 1,006,027.16 and 406,714.90

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Solution

The fourth proportional to 729,004.74, 1,006,027.16 and 406,714.90 is: 561,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,004.74 : 1,006,027.16 = 406,714.90 : x
  2. Step 2: Convert to fraction form
    729,004.74/1,006,027.16 = 406,714.90/x
  3. Step 3: Cross multiply
    729,004.74x = 1,006,027.16 × 406,714.90
  4. Step 4: Simplify right side
    729,004.74x = 409,166,235,776.68
  5. Step 5: Solve for x
    x = 409,166,235,776.68/729,004.74
  6. Step 6: Final answer
    x = 561,266.91

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