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Finding the Fourth Proportional to 505,731.84, 697,923.63 and 301,901.07

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Solution

The fourth proportional to 505,731.84, 697,923.63 and 301,901.07 is: 416,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,731.84 : 697,923.63 = 301,901.07 : x
  2. Step 2: Convert to fraction form
    505,731.84/697,923.63 = 301,901.07/x
  3. Step 3: Cross multiply
    505,731.84x = 697,923.63 × 301,901.07
  4. Step 4: Simplify right side
    505,731.84x = 210,703,890,675.28
  5. Step 5: Solve for x
    x = 210,703,890,675.28/505,731.84
  6. Step 6: Final answer
    x = 416,631.65

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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.