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Finding the Fourth Proportional to 294,598.65, 442,091.76 and 161,572.33

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Solution

The fourth proportional to 294,598.65, 442,091.76 and 161,572.33 is: 242,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,598.65 : 442,091.76 = 161,572.33 : x
  2. Step 2: Convert to fraction form
    294,598.65/442,091.76 = 161,572.33/x
  3. Step 3: Cross multiply
    294,598.65x = 442,091.76 × 161,572.33
  4. Step 4: Simplify right side
    294,598.65x = 71,429,795,803.60
  5. Step 5: Solve for x
    x = 71,429,795,803.60/294,598.65
  6. Step 6: Final answer
    x = 242,464.77

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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.