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Finding the Fourth Proportional to 505,422.74, 697,482.96 and 290,604.80

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Solution

The fourth proportional to 505,422.74, 697,482.96 and 290,604.80 is: 401,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,422.74 : 697,482.96 = 290,604.80 : x
  2. Step 2: Convert to fraction form
    505,422.74/697,482.96 = 290,604.80/x
  3. Step 3: Cross multiply
    505,422.74x = 697,482.96 × 290,604.80
  4. Step 4: Simplify right side
    505,422.74x = 202,691,896,094.21
  5. Step 5: Solve for x
    x = 202,691,896,094.21/505,422.74
  6. Step 6: Final answer
    x = 401,034.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.