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Finding the Fourth Proportional to 413,674.65, 619,937.88 and 188,484.75

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Solution

The fourth proportional to 413,674.65, 619,937.88 and 188,484.75 is: 282,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,674.65 : 619,937.88 = 188,484.75 : x
  2. Step 2: Convert to fraction form
    413,674.65/619,937.88 = 188,484.75/x
  3. Step 3: Cross multiply
    413,674.65x = 619,937.88 × 188,484.75
  4. Step 4: Simplify right side
    413,674.65x = 116,848,836,327.33
  5. Step 5: Solve for x
    x = 116,848,836,327.33/413,674.65
  6. Step 6: Final answer
    x = 282,465.55

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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.