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Finding the Fourth Proportional to 577,347.66, 796,756.77 and 322,699.50

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Solution

The fourth proportional to 577,347.66, 796,756.77 and 322,699.50 is: 445,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,347.66 : 796,756.77 = 322,699.50 : x
  2. Step 2: Convert to fraction form
    577,347.66/796,756.77 = 322,699.50/x
  3. Step 3: Cross multiply
    577,347.66x = 796,756.77 × 322,699.50
  4. Step 4: Simplify right side
    577,347.66x = 257,113,011,300.62
  5. Step 5: Solve for x
    x = 257,113,011,300.62/577,347.66
  6. Step 6: Final answer
    x = 445,334.81

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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.