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Finding the Fourth Proportional to 377,284.34, 520,641.42 and 207,518.42

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Solution

The fourth proportional to 377,284.34, 520,641.42 and 207,518.42 is: 286,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,284.34 : 520,641.42 = 207,518.42 : x
  2. Step 2: Convert to fraction form
    377,284.34/520,641.42 = 207,518.42/x
  3. Step 3: Cross multiply
    377,284.34x = 520,641.42 × 207,518.42
  4. Step 4: Simplify right side
    377,284.34x = 108,042,684,864.96
  5. Step 5: Solve for x
    x = 108,042,684,864.96/377,284.34
  6. Step 6: Final answer
    x = 286,369.39

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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.