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Finding the Fourth Proportional to 570,714, 787,583.64 and 328,995.24

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Solution

The fourth proportional to 570,714, 787,583.64 and 328,995.24 is: 454,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,714 : 787,583.64 = 328,995.24 : x
  2. Step 2: Convert to fraction form
    570,714/787,583.64 = 328,995.24/x
  3. Step 3: Cross multiply
    570,714x = 787,583.64 × 328,995.24
  4. Step 4: Simplify right side
    570,714x = 259,111,268,661.87
  5. Step 5: Solve for x
    x = 259,111,268,661.87/570,714
  6. Step 6: Final answer
    x = 454,012.46

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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.