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Finding the Fourth Proportional to 294,339.30, 406,191 and 167,004.87

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Solution

The fourth proportional to 294,339.30, 406,191 and 167,004.87 is: 230,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,339.30 : 406,191 = 167,004.87 : x
  2. Step 2: Convert to fraction form
    294,339.30/406,191 = 167,004.87/x
  3. Step 3: Cross multiply
    294,339.30x = 406,191 × 167,004.87
  4. Step 4: Simplify right side
    294,339.30x = 67,835,875,150.17
  5. Step 5: Solve for x
    x = 67,835,875,150.17/294,339.30
  6. Step 6: Final answer
    x = 230,468.29

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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.