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Finding the Fourth Proportional to 513,756.49, 708,515.65 and 441,136.60

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Solution

The fourth proportional to 513,756.49, 708,515.65 and 441,136.60 is: 608,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,756.49 : 708,515.65 = 441,136.60 : x
  2. Step 2: Convert to fraction form
    513,756.49/708,515.65 = 441,136.60/x
  3. Step 3: Cross multiply
    513,756.49x = 708,515.65 × 441,136.60
  4. Step 4: Simplify right side
    513,756.49x = 312,552,179,139.53
  5. Step 5: Solve for x
    x = 312,552,179,139.53/513,756.49
  6. Step 6: Final answer
    x = 608,366.39

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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.