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Finding the Fourth Proportional to 348,693.76, 522,541.62 and 198,624.16

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Solution

The fourth proportional to 348,693.76, 522,541.62 and 198,624.16 is: 297,651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,693.76 : 522,541.62 = 198,624.16 : x
  2. Step 2: Convert to fraction form
    348,693.76/522,541.62 = 198,624.16/x
  3. Step 3: Cross multiply
    348,693.76x = 522,541.62 × 198,624.16
  4. Step 4: Simplify right side
    348,693.76x = 103,789,390,337.54
  5. Step 5: Solve for x
    x = 103,789,390,337.54/348,693.76
  6. Step 6: Final answer
    x = 297,651.99

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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.