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Finding the Fourth Proportional to 294,270.00, 406,064.55 and 165,178.91

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Solution

The fourth proportional to 294,270.00, 406,064.55 and 165,178.91 is: 227,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,270.00 : 406,064.55 = 165,178.91 : x
  2. Step 2: Convert to fraction form
    294,270.00/406,064.55 = 165,178.91/x
  3. Step 3: Cross multiply
    294,270.00x = 406,064.55 × 165,178.91
  4. Step 4: Simplify right side
    294,270.00x = 67,073,300,464.09
  5. Step 5: Solve for x
    x = 67,073,300,464.09/294,270.00
  6. Step 6: Final answer
    x = 227,931.15

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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.