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Finding the Fourth Proportional to 296,924, 444,270 and 208,350.32

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Solution

The fourth proportional to 296,924, 444,270 and 208,350.32 is: 311,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,924 : 444,270 = 208,350.32 : x
  2. Step 2: Convert to fraction form
    296,924/444,270 = 208,350.32/x
  3. Step 3: Cross multiply
    296,924x = 444,270 × 208,350.32
  4. Step 4: Simplify right side
    296,924x = 92,563,796,666.40
  5. Step 5: Solve for x
    x = 92,563,796,666.40/296,924
  6. Step 6: Final answer
    x = 311,742.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.