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Finding the Fourth Proportional to 582,134.76, 803,051.91 and 340,259.31

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Solution

The fourth proportional to 582,134.76, 803,051.91 and 340,259.31 is: 469,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,134.76 : 803,051.91 = 340,259.31 : x
  2. Step 2: Convert to fraction form
    582,134.76/803,051.91 = 340,259.31/x
  3. Step 3: Cross multiply
    582,134.76x = 803,051.91 × 340,259.31
  4. Step 4: Simplify right side
    582,134.76x = 273,245,888,790.78
  5. Step 5: Solve for x
    x = 273,245,888,790.78/582,134.76
  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.