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Finding the Fourth Proportional to 308,483.42, 462,538.31 and 201,738.53

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Solution

The fourth proportional to 308,483.42, 462,538.31 and 201,738.53 is: 302,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,483.42 : 462,538.31 = 201,738.53 : x
  2. Step 2: Convert to fraction form
    308,483.42/462,538.31 = 201,738.53/x
  3. Step 3: Cross multiply
    308,483.42x = 462,538.31 × 201,738.53
  4. Step 4: Simplify right side
    308,483.42x = 93,311,798,875.74
  5. Step 5: Solve for x
    x = 93,311,798,875.74/308,483.42
  6. Step 6: Final answer
    x = 302,485.63

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Why These Related Problems?

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