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Finding the Fourth Proportional to 505,146.20, 697,221.42 and 290,411.02

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Solution

The fourth proportional to 505,146.20, 697,221.42 and 290,411.02 is: 400,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,146.20 : 697,221.42 = 290,411.02 : x
  2. Step 2: Convert to fraction form
    505,146.20/697,221.42 = 290,411.02/x
  3. Step 3: Cross multiply
    505,146.20x = 697,221.42 × 290,411.02
  4. Step 4: Simplify right side
    505,146.20x = 202,480,780,261.94
  5. Step 5: Solve for x
    x = 202,480,780,261.94/505,146.20
  6. Step 6: Final answer
    x = 400,836.00

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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.