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Finding the Fourth Proportional to 445,676.14, 614,834.04 and 264,395.80

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Solution

The fourth proportional to 445,676.14, 614,834.04 and 264,395.80 is: 364,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,676.14 : 614,834.04 = 264,395.80 : x
  2. Step 2: Convert to fraction form
    445,676.14/614,834.04 = 264,395.80/x
  3. Step 3: Cross multiply
    445,676.14x = 614,834.04 × 264,395.80
  4. Step 4: Simplify right side
    445,676.14x = 162,559,537,873.03
  5. Step 5: Solve for x
    x = 162,559,537,873.03/445,676.14
  6. Step 6: Final answer
    x = 364,748.13

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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.