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Finding the Fourth Proportional to 369,734.84, 509,999.22 and 242,418.68

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Solution

The fourth proportional to 369,734.84, 509,999.22 and 242,418.68 is: 334,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,734.84 : 509,999.22 = 242,418.68 : x
  2. Step 2: Convert to fraction form
    369,734.84/509,999.22 = 242,418.68/x
  3. Step 3: Cross multiply
    369,734.84x = 509,999.22 × 242,418.68
  4. Step 4: Simplify right side
    369,734.84x = 123,633,337,713.43
  5. Step 5: Solve for x
    x = 123,633,337,713.43/369,734.84
  6. Step 6: Final answer
    x = 334,383.79

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1.5x scale

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.