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Finding the Fourth Proportional to 761,847.35, 1,051,361.16 and 417,714.71

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Solution

The fourth proportional to 761,847.35, 1,051,361.16 and 417,714.71 is: 576,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,847.35 : 1,051,361.16 = 417,714.71 : x
  2. Step 2: Convert to fraction form
    761,847.35/1,051,361.16 = 417,714.71/x
  3. Step 3: Cross multiply
    761,847.35x = 1,051,361.16 × 417,714.71
  4. Step 4: Simplify right side
    761,847.35x = 439,169,022,054.66
  5. Step 5: Solve for x
    x = 439,169,022,054.66/761,847.35
  6. Step 6: Final answer
    x = 576,452.78

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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.