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Finding the Fourth Proportional to 377,214.34, 520,545.42 and 207,448.46

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Solution

The fourth proportional to 377,214.34, 520,545.42 and 207,448.46 is: 286,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,214.34 : 520,545.42 = 207,448.46 : x
  2. Step 2: Convert to fraction form
    377,214.34/520,545.42 = 207,448.46/x
  3. Step 3: Cross multiply
    377,214.34x = 520,545.42 × 207,448.46
  4. Step 4: Simplify right side
    377,214.34x = 107,986,345,739.05
  5. Step 5: Solve for x
    x = 107,986,345,739.05/377,214.34
  6. Step 6: Final answer
    x = 286,273.17

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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.