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Finding the Fourth Proportional to 427,962.06, 590,596.92 and 234,378

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Solution

The fourth proportional to 427,962.06, 590,596.92 and 234,378 is: 323,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,962.06 : 590,596.92 = 234,378 : x
  2. Step 2: Convert to fraction form
    427,962.06/590,596.92 = 234,378/x
  3. Step 3: Cross multiply
    427,962.06x = 590,596.92 × 234,378
  4. Step 4: Simplify right side
    427,962.06x = 138,422,924,915.76
  5. Step 5: Solve for x
    x = 138,422,924,915.76/427,962.06
  6. Step 6: Final answer
    x = 323,446.72

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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.