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Finding the Fourth Proportional to 509,980.24, 765,136.76 and 243,761.50

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Solution

The fourth proportional to 509,980.24, 765,136.76 and 243,761.50 is: 365,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,980.24 : 765,136.76 = 243,761.50 : x
  2. Step 2: Convert to fraction form
    509,980.24/765,136.76 = 243,761.50/x
  3. Step 3: Cross multiply
    509,980.24x = 765,136.76 × 243,761.50
  4. Step 4: Simplify right side
    509,980.24x = 186,510,884,322.74
  5. Step 5: Solve for x
    x = 186,510,884,322.74/509,980.24
  6. Step 6: Final answer
    x = 365,721.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.