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Finding the Fourth Proportional to 534,706, 737,894.44 and 319,855.12

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Solution

The fourth proportional to 534,706, 737,894.44 and 319,855.12 is: 441,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,706 : 737,894.44 = 319,855.12 : x
  2. Step 2: Convert to fraction form
    534,706/737,894.44 = 319,855.12/x
  3. Step 3: Cross multiply
    534,706x = 737,894.44 × 319,855.12
  4. Step 4: Simplify right side
    534,706x = 236,019,314,653.53
  5. Step 5: Solve for x
    x = 236,019,314,653.53/534,706
  6. Step 6: Final answer
    x = 441,400.16

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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.