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Finding the Fourth Proportional to 294,970.50, 407,060.10 and 160,834.50

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Solution

The fourth proportional to 294,970.50, 407,060.10 and 160,834.50 is: 221,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,970.50 : 407,060.10 = 160,834.50 : x
  2. Step 2: Convert to fraction form
    294,970.50/407,060.10 = 160,834.50/x
  3. Step 3: Cross multiply
    294,970.50x = 407,060.10 × 160,834.50
  4. Step 4: Simplify right side
    294,970.50x = 65,469,307,653.45
  5. Step 5: Solve for x
    x = 65,469,307,653.45/294,970.50
  6. Step 6: Final answer
    x = 221,952.05

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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.