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Finding the Fourth Proportional to 377,570.81, 566,342.85 and 164,338.31

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Solution

The fourth proportional to 377,570.81, 566,342.85 and 164,338.31 is: 246,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,570.81 : 566,342.85 = 164,338.31 : x
  2. Step 2: Convert to fraction form
    377,570.81/566,342.85 = 164,338.31/x
  3. Step 3: Cross multiply
    377,570.81x = 566,342.85 × 164,338.31
  4. Step 4: Simplify right side
    377,570.81x = 93,071,826,849.58
  5. Step 5: Solve for x
    x = 93,071,826,849.58/377,570.81
  6. Step 6: Final answer
    x = 246,501.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.