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Finding the Fourth Proportional to 308,756.74, 463,126.47 and 98,407.30

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Solution

The fourth proportional to 308,756.74, 463,126.47 and 98,407.30 is: 147,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,756.74 : 463,126.47 = 98,407.30 : x
  2. Step 2: Convert to fraction form
    308,756.74/463,126.47 = 98,407.30/x
  3. Step 3: Cross multiply
    308,756.74x = 463,126.47 × 98,407.30
  4. Step 4: Simplify right side
    308,756.74x = 45,575,025,471.23
  5. Step 5: Solve for x
    x = 45,575,025,471.23/308,756.74
  6. Step 6: Final answer
    x = 147,608.20

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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.