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Finding the Fourth Proportional to 626,433.84, 864,485.04 and 339,956.40

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Solution

The fourth proportional to 626,433.84, 864,485.04 and 339,956.40 is: 469,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,433.84 : 864,485.04 = 339,956.40 : x
  2. Step 2: Convert to fraction form
    626,433.84/864,485.04 = 339,956.40/x
  3. Step 3: Cross multiply
    626,433.84x = 864,485.04 × 339,956.40
  4. Step 4: Simplify right side
    626,433.84x = 293,887,222,052.26
  5. Step 5: Solve for x
    x = 293,887,222,052.26/626,433.84
  6. Step 6: Final answer
    x = 469,143.27

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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.