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Finding the Fourth Proportional to 683,046, 942,613.20 and 381,240

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Solution

The fourth proportional to 683,046, 942,613.20 and 381,240 is: 526,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,046 : 942,613.20 = 381,240 : x
  2. Step 2: Convert to fraction form
    683,046/942,613.20 = 381,240/x
  3. Step 3: Cross multiply
    683,046x = 942,613.20 × 381,240
  4. Step 4: Simplify right side
    683,046x = 359,361,856,368
  5. Step 5: Solve for x
    x = 359,361,856,368/683,046
  6. Step 6: Final answer
    x = 526,116.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.