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Finding the Fourth Proportional to 290,598.98, 401,011.18 and 163,266.38

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Solution

The fourth proportional to 290,598.98, 401,011.18 and 163,266.38 is: 225,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,598.98 : 401,011.18 = 163,266.38 : x
  2. Step 2: Convert to fraction form
    290,598.98/401,011.18 = 163,266.38/x
  3. Step 3: Cross multiply
    290,598.98x = 401,011.18 × 163,266.38
  4. Step 4: Simplify right side
    290,598.98x = 65,471,641,284.91
  5. Step 5: Solve for x
    x = 65,471,641,284.91/290,598.98
  6. Step 6: Final answer
    x = 225,298.94

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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.