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Finding the Fourth Proportional to 294,707.52, 406,697.28 and 167,384.16

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Solution

The fourth proportional to 294,707.52, 406,697.28 and 167,384.16 is: 230,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,707.52 : 406,697.28 = 167,384.16 : x
  2. Step 2: Convert to fraction form
    294,707.52/406,697.28 = 167,384.16/x
  3. Step 3: Cross multiply
    294,707.52x = 406,697.28 × 167,384.16
  4. Step 4: Simplify right side
    294,707.52x = 68,074,682,587.08
  5. Step 5: Solve for x
    x = 68,074,682,587.08/294,707.52
  6. Step 6: Final answer
    x = 230,990.65

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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.