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Finding the Fourth Proportional to 294,623.50, 406,580.44 and 160,487.50

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Solution

The fourth proportional to 294,623.50, 406,580.44 and 160,487.50 is: 221,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,623.50 : 406,580.44 = 160,487.50 : x
  2. Step 2: Convert to fraction form
    294,623.50/406,580.44 = 160,487.50/x
  3. Step 3: Cross multiply
    294,623.50x = 406,580.44 × 160,487.50
  4. Step 4: Simplify right side
    294,623.50x = 65,251,078,364.50
  5. Step 5: Solve for x
    x = 65,251,078,364.50/294,623.50
  6. Step 6: Final answer
    x = 221,472.76

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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.