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Finding the Fourth Proportional to 308,707.20, 463,094.01 and 98,295.93

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Solution

The fourth proportional to 308,707.20, 463,094.01 and 98,295.93 is: 147,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,707.20 : 463,094.01 = 98,295.93 : x
  2. Step 2: Convert to fraction form
    308,707.20/463,094.01 = 98,295.93/x
  3. Step 3: Cross multiply
    308,707.20x = 463,094.01 × 98,295.93
  4. Step 4: Simplify right side
    308,707.20x = 45,520,256,390.38
  5. Step 5: Solve for x
    x = 45,520,256,390.38/308,707.20
  6. Step 6: Final answer
    x = 147,454.47

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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.