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Finding the Fourth Proportional to 294,857.63, 406,901.47 and 167,533.23

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Solution

The fourth proportional to 294,857.63, 406,901.47 and 167,533.23 is: 231,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,857.63 : 406,901.47 = 167,533.23 : x
  2. Step 2: Convert to fraction form
    294,857.63/406,901.47 = 167,533.23/x
  3. Step 3: Cross multiply
    294,857.63x = 406,901.47 × 167,533.23
  4. Step 4: Simplify right side
    294,857.63x = 68,169,516,941.38
  5. Step 5: Solve for x
    x = 68,169,516,941.38/294,857.63
  6. Step 6: Final answer
    x = 231,194.68

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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.