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Finding the Fourth Proportional to 287,777.45, 397,135.23 and 160,461.65

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Solution

The fourth proportional to 287,777.45, 397,135.23 and 160,461.65 is: 221,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,777.45 : 397,135.23 = 160,461.65 : x
  2. Step 2: Convert to fraction form
    287,777.45/397,135.23 = 160,461.65/x
  3. Step 3: Cross multiply
    287,777.45x = 397,135.23 × 160,461.65
  4. Step 4: Simplify right side
    287,777.45x = 63,724,974,278.93
  5. Step 5: Solve for x
    x = 63,724,974,278.93/287,777.45
  6. Step 6: Final answer
    x = 221,438.39

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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.