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Finding the Fourth Proportional to 505,420.74, 697,480.20 and 290,602.80

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Solution

The fourth proportional to 505,420.74, 697,480.20 and 290,602.80 is: 401,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,420.74 : 697,480.20 = 290,602.80 : x
  2. Step 2: Convert to fraction form
    505,420.74/697,480.20 = 290,602.80/x
  3. Step 3: Cross multiply
    505,420.74x = 697,480.20 × 290,602.80
  4. Step 4: Simplify right side
    505,420.74x = 202,689,699,064.56
  5. Step 5: Solve for x
    x = 202,689,699,064.56/505,420.74
  6. Step 6: Final answer
    x = 401,031.62

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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.