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Finding the Fourth Proportional to 462,696.40, 692,878.20 and 343,723.60

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Solution

The fourth proportional to 462,696.40, 692,878.20 and 343,723.60 is: 514,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,696.40 : 692,878.20 = 343,723.60 : x
  2. Step 2: Convert to fraction form
    462,696.40/692,878.20 = 343,723.60/x
  3. Step 3: Cross multiply
    462,696.40x = 692,878.20 × 343,723.60
  4. Step 4: Simplify right side
    462,696.40x = 238,158,589,265.52
  5. Step 5: Solve for x
    x = 238,158,589,265.52/462,696.40
  6. Step 6: Final answer
    x = 514,718.92

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Why These Related Problems?

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