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Finding the Fourth Proportional to 584,407.56, 806,495.01 and 322,762.17

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Solution

The fourth proportional to 584,407.56, 806,495.01 and 322,762.17 is: 445,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,407.56 : 806,495.01 = 322,762.17 : x
  2. Step 2: Convert to fraction form
    584,407.56/806,495.01 = 322,762.17/x
  3. Step 3: Cross multiply
    584,407.56x = 806,495.01 × 322,762.17
  4. Step 4: Simplify right side
    584,407.56x = 260,306,079,521.77
  5. Step 5: Solve for x
    x = 260,306,079,521.77/584,407.56
  6. Step 6: Final answer
    x = 445,418.74

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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.