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Finding the Fourth Proportional to 646,126.38, 891,654.30 and 359,640.36

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Solution

The fourth proportional to 646,126.38, 891,654.30 and 359,640.36 is: 496,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,126.38 : 891,654.30 = 359,640.36 : x
  2. Step 2: Convert to fraction form
    646,126.38/891,654.30 = 359,640.36/x
  3. Step 3: Cross multiply
    646,126.38x = 891,654.30 × 359,640.36
  4. Step 4: Simplify right side
    646,126.38x = 320,674,873,447.55
  5. Step 5: Solve for x
    x = 320,674,873,447.55/646,126.38
  6. Step 6: Final answer
    x = 496,303.64

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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.