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Finding the Fourth Proportional to 294,470.89, 406,263.09 and 167,072.68

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Solution

The fourth proportional to 294,470.89, 406,263.09 and 167,072.68 is: 230,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,470.89 : 406,263.09 = 167,072.68 : x
  2. Step 2: Convert to fraction form
    294,470.89/406,263.09 = 167,072.68/x
  3. Step 3: Cross multiply
    294,470.89x = 406,263.09 × 167,072.68
  4. Step 4: Simplify right side
    294,470.89x = 67,875,462,080.50
  5. Step 5: Solve for x
    x = 67,875,462,080.50/294,470.89
  6. Step 6: Final answer
    x = 230,499.73

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1.5x scale

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.