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Finding the Fourth Proportional to 911,913.74, 1,367,898.50 and 312,866.50

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Solution

The fourth proportional to 911,913.74, 1,367,898.50 and 312,866.50 is: 469,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,913.74 : 1,367,898.50 = 312,866.50 : x
  2. Step 2: Convert to fraction form
    911,913.74/1,367,898.50 = 312,866.50/x
  3. Step 3: Cross multiply
    911,913.74x = 1,367,898.50 × 312,866.50
  4. Step 4: Simplify right side
    911,913.74x = 427,969,616,050.25
  5. Step 5: Solve for x
    x = 427,969,616,050.25/911,913.74
  6. Step 6: Final answer
    x = 469,309.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.