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Finding the Fourth Proportional to 445,504, 614,544 and 264,037.68

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Solution

The fourth proportional to 445,504, 614,544 and 264,037.68 is: 364,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,504 : 614,544 = 264,037.68 : x
  2. Step 2: Convert to fraction form
    445,504/614,544 = 264,037.68/x
  3. Step 3: Cross multiply
    445,504x = 614,544 × 264,037.68
  4. Step 4: Simplify right side
    445,504x = 162,262,772,017.92
  5. Step 5: Solve for x
    x = 162,262,772,017.92/445,504
  6. Step 6: Final answer
    x = 364,222.93

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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.