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Finding the Fourth Proportional to 767,858.64, 1,059,464.52 and 465,994.32

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Solution

The fourth proportional to 767,858.64, 1,059,464.52 and 465,994.32 is: 642,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,858.64 : 1,059,464.52 = 465,994.32 : x
  2. Step 2: Convert to fraction form
    767,858.64/1,059,464.52 = 465,994.32/x
  3. Step 3: Cross multiply
    767,858.64x = 1,059,464.52 × 465,994.32
  4. Step 4: Simplify right side
    767,858.64x = 493,704,448,561.53
  5. Step 5: Solve for x
    x = 493,704,448,561.53/767,858.64
  6. Step 6: Final answer
    x = 642,962.68

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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.