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Finding the Fourth Proportional to 582,134.72, 803,051.96 and 340,259.27

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Solution

The fourth proportional to 582,134.72, 803,051.96 and 340,259.27 is: 469,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,134.72 : 803,051.96 = 340,259.27 : x
  2. Step 2: Convert to fraction form
    582,134.72/803,051.96 = 340,259.27/x
  3. Step 3: Cross multiply
    582,134.72x = 803,051.96 × 340,259.27
  4. Step 4: Simplify right side
    582,134.72x = 273,245,867,965.11
  5. Step 5: Solve for x
    x = 273,245,867,965.11/582,134.72
  6. Step 6: Final answer
    x = 469,385.97

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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.