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Finding the Fourth Proportional to 445,657.14, 614,807.82 and 264,376.71

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Solution

The fourth proportional to 445,657.14, 614,807.82 and 264,376.71 is: 364,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,657.14 : 614,807.82 = 264,376.71 : x
  2. Step 2: Convert to fraction form
    445,657.14/614,807.82 = 264,376.71/x
  3. Step 3: Cross multiply
    445,657.14x = 614,807.82 × 264,376.71
  4. Step 4: Simplify right side
    445,657.14x = 162,540,868,733.87
  5. Step 5: Solve for x
    x = 162,540,868,733.87/445,657.14
  6. Step 6: Final answer
    x = 364,721.79

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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.