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Finding the Fourth Proportional to 610,459.84, 842,418.90 and 338,523.40

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Solution

The fourth proportional to 610,459.84, 842,418.90 and 338,523.40 is: 467,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,459.84 : 842,418.90 = 338,523.40 : x
  2. Step 2: Convert to fraction form
    610,459.84/842,418.90 = 338,523.40/x
  3. Step 3: Cross multiply
    610,459.84x = 842,418.90 × 338,523.40
  4. Step 4: Simplify right side
    610,459.84x = 285,178,510,252.26
  5. Step 5: Solve for x
    x = 285,178,510,252.26/610,459.84
  6. Step 6: Final answer
    x = 467,153.60

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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.