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Finding the Fourth Proportional to 424,005.84, 584,884.44 and 264,753.36

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Solution

The fourth proportional to 424,005.84, 584,884.44 and 264,753.36 is: 365,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,005.84 : 584,884.44 = 264,753.36 : x
  2. Step 2: Convert to fraction form
    424,005.84/584,884.44 = 264,753.36/x
  3. Step 3: Cross multiply
    424,005.84x = 584,884.44 × 264,753.36
  4. Step 4: Simplify right side
    424,005.84x = 154,850,120,701.72
  5. Step 5: Solve for x
    x = 154,850,120,701.72/424,005.84
  6. Step 6: Final answer
    x = 365,207.52

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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.