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Finding the Fourth Proportional to 463,522.52, 639,670.14 and 302,480.60

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Solution

The fourth proportional to 463,522.52, 639,670.14 and 302,480.60 is: 417,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,522.52 : 639,670.14 = 302,480.60 : x
  2. Step 2: Convert to fraction form
    463,522.52/639,670.14 = 302,480.60/x
  3. Step 3: Cross multiply
    463,522.52x = 639,670.14 × 302,480.60
  4. Step 4: Simplify right side
    463,522.52x = 193,487,807,749.28
  5. Step 5: Solve for x
    x = 193,487,807,749.28/463,522.52
  6. Step 6: Final answer
    x = 417,429.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.