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Finding the Fourth Proportional to 577,841.40, 797,416.56 and 323,192.40

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Solution

The fourth proportional to 577,841.40, 797,416.56 and 323,192.40 is: 446,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,841.40 : 797,416.56 = 323,192.40 : x
  2. Step 2: Convert to fraction form
    577,841.40/797,416.56 = 323,192.40/x
  3. Step 3: Cross multiply
    577,841.40x = 797,416.56 × 323,192.40
  4. Step 4: Simplify right side
    577,841.40x = 257,718,971,826.14
  5. Step 5: Solve for x
    x = 257,718,971,826.14/577,841.40
  6. Step 6: Final answer
    x = 446,002.95

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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.