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Finding the Fourth Proportional to 582,501.20, 803,817.48 and 327,842

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Solution

The fourth proportional to 582,501.20, 803,817.48 and 327,842 is: 452,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,501.20 : 803,817.48 = 327,842 : x
  2. Step 2: Convert to fraction form
    582,501.20/803,817.48 = 327,842/x
  3. Step 3: Cross multiply
    582,501.20x = 803,817.48 × 327,842
  4. Step 4: Simplify right side
    582,501.20x = 263,525,130,278.16
  5. Step 5: Solve for x
    x = 263,525,130,278.16/582,501.20
  6. Step 6: Final answer
    x = 452,402.73

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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.