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Finding the Fourth Proportional to 613,114.50, 918,342.53 and 296,908.32

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Solution

The fourth proportional to 613,114.50, 918,342.53 and 296,908.32 is: 444,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,114.50 : 918,342.53 = 296,908.32 : x
  2. Step 2: Convert to fraction form
    613,114.50/918,342.53 = 296,908.32/x
  3. Step 3: Cross multiply
    613,114.50x = 918,342.53 × 296,908.32
  4. Step 4: Simplify right side
    613,114.50x = 272,663,536,282.31
  5. Step 5: Solve for x
    x = 272,663,536,282.31/613,114.50
  6. Step 6: Final answer
    x = 444,718.79

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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.