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Finding the Fourth Proportional to 565,838.55, 782,913.36 and 493,392.50

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Solution

The fourth proportional to 565,838.55, 782,913.36 and 493,392.50 is: 682,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,838.55 : 782,913.36 = 493,392.50 : x
  2. Step 2: Convert to fraction form
    565,838.55/782,913.36 = 493,392.50/x
  3. Step 3: Cross multiply
    565,838.55x = 782,913.36 × 493,392.50
  4. Step 4: Simplify right side
    565,838.55x = 386,283,579,973.80
  5. Step 5: Solve for x
    x = 386,283,579,973.80/565,838.55
  6. Step 6: Final answer
    x = 682,674.55

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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.