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Finding the Fourth Proportional to 340,047.54, 469,259.25 and 232,613.94

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Solution

The fourth proportional to 340,047.54, 469,259.25 and 232,613.94 is: 321,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,047.54 : 469,259.25 = 232,613.94 : x
  2. Step 2: Convert to fraction form
    340,047.54/469,259.25 = 232,613.94/x
  3. Step 3: Cross multiply
    340,047.54x = 469,259.25 × 232,613.94
  4. Step 4: Simplify right side
    340,047.54x = 109,156,243,023.95
  5. Step 5: Solve for x
    x = 109,156,243,023.95/340,047.54
  6. Step 6: Final answer
    x = 321,002.89

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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.