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Finding the Fourth Proportional to 592,420, 817,539.60 and 324,148

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Solution

The fourth proportional to 592,420, 817,539.60 and 324,148 is: 447,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,420 : 817,539.60 = 324,148 : x
  2. Step 2: Convert to fraction form
    592,420/817,539.60 = 324,148/x
  3. Step 3: Cross multiply
    592,420x = 817,539.60 × 324,148
  4. Step 4: Simplify right side
    592,420x = 265,003,826,260.80
  5. Step 5: Solve for x
    x = 265,003,826,260.80/592,420
  6. Step 6: Final answer
    x = 447,324.24

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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.