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Finding the Fourth Proportional to 578,649.77, 800,059.76 and 506,823.23

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Solution

The fourth proportional to 578,649.77, 800,059.76 and 506,823.23 is: 700,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,649.77 : 800,059.76 = 506,823.23 : x
  2. Step 2: Convert to fraction form
    578,649.77/800,059.76 = 506,823.23/x
  3. Step 3: Cross multiply
    578,649.77x = 800,059.76 × 506,823.23
  4. Step 4: Simplify right side
    578,649.77x = 405,488,869,022.98
  5. Step 5: Solve for x
    x = 405,488,869,022.98/578,649.77
  6. Step 6: Final answer
    x = 700,750.07

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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.