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Finding the Fourth Proportional to 348,784, 523,180.92 and 99,466

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Solution

The fourth proportional to 348,784, 523,180.92 and 99,466 is: 149,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,784 : 523,180.92 = 99,466 : x
  2. Step 2: Convert to fraction form
    348,784/523,180.92 = 99,466/x
  3. Step 3: Cross multiply
    348,784x = 523,180.92 × 99,466
  4. Step 4: Simplify right side
    348,784x = 52,038,713,388.72
  5. Step 5: Solve for x
    x = 52,038,713,388.72/348,784
  6. Step 6: Final answer
    x = 149,200.40

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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.