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Finding the Fourth Proportional to 505,730.02, 697,921.13 and 301,899.24

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Solution

The fourth proportional to 505,730.02, 697,921.13 and 301,899.24 is: 416,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,730.02 : 697,921.13 = 301,899.24 : x
  2. Step 2: Convert to fraction form
    505,730.02/697,921.13 = 301,899.24/x
  3. Step 3: Cross multiply
    505,730.02x = 697,921.13 × 301,899.24
  4. Step 4: Simplify right side
    505,730.02x = 210,701,858,726.94
  5. Step 5: Solve for x
    x = 210,701,858,726.94/505,730.02
  6. Step 6: Final answer
    x = 416,629.13

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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.