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Finding the Fourth Proportional to 366,924.35, 506,410.95 and 223,767.44

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Solution

The fourth proportional to 366,924.35, 506,410.95 and 223,767.44 is: 308,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,924.35 : 506,410.95 = 223,767.44 : x
  2. Step 2: Convert to fraction form
    366,924.35/506,410.95 = 223,767.44/x
  3. Step 3: Cross multiply
    366,924.35x = 506,410.95 × 223,767.44
  4. Step 4: Simplify right side
    366,924.35x = 113,318,282,075.58
  5. Step 5: Solve for x
    x = 113,318,282,075.58/366,924.35
  6. Step 6: Final answer
    x = 308,832.82

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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.