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Finding the Fourth Proportional to 417,264.12, 575,577.75 and 266,361.12

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Solution

The fourth proportional to 417,264.12, 575,577.75 and 266,361.12 is: 367,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,264.12 : 575,577.75 = 266,361.12 : x
  2. Step 2: Convert to fraction form
    417,264.12/575,577.75 = 266,361.12/x
  3. Step 3: Cross multiply
    417,264.12x = 575,577.75 × 266,361.12
  4. Step 4: Simplify right side
    417,264.12x = 153,311,534,137.08
  5. Step 5: Solve for x
    x = 153,311,534,137.08/417,264.12
  6. Step 6: Final answer
    x = 367,420.84

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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.