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Finding the Fourth Proportional to 377,013.25, 520,265.10 and 207,246.16

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Solution

The fourth proportional to 377,013.25, 520,265.10 and 207,246.16 is: 285,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,013.25 : 520,265.10 = 207,246.16 : x
  2. Step 2: Convert to fraction form
    377,013.25/520,265.10 = 207,246.16/x
  3. Step 3: Cross multiply
    377,013.25x = 520,265.10 × 207,246.16
  4. Step 4: Simplify right side
    377,013.25x = 107,822,944,157.02
  5. Step 5: Solve for x
    x = 107,822,944,157.02/377,013.25
  6. Step 6: Final answer
    x = 285,992.45

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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.