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Finding the Fourth Proportional to 308,703.72, 463,071.10 and 98,358.06

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Solution

The fourth proportional to 308,703.72, 463,071.10 and 98,358.06 is: 147,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,703.72 : 463,071.10 = 98,358.06 : x
  2. Step 2: Convert to fraction form
    308,703.72/463,071.10 = 98,358.06/x
  3. Step 3: Cross multiply
    308,703.72x = 463,071.10 × 98,358.06
  4. Step 4: Simplify right side
    308,703.72x = 45,546,773,082.58
  5. Step 5: Solve for x
    x = 45,546,773,082.58/308,703.72
  6. Step 6: Final answer
    x = 147,542.03

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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.