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Finding the Fourth Proportional to 297,816.40, 446,724.60 and 238,767.40

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Solution

The fourth proportional to 297,816.40, 446,724.60 and 238,767.40 is: 358,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,816.40 : 446,724.60 = 238,767.40 : x
  2. Step 2: Convert to fraction form
    297,816.40/446,724.60 = 238,767.40/x
  3. Step 3: Cross multiply
    297,816.40x = 446,724.60 × 238,767.40
  4. Step 4: Simplify right side
    297,816.40x = 106,663,271,258.04
  5. Step 5: Solve for x
    x = 106,663,271,258.04/297,816.40
  6. Step 6: Final answer
    x = 358,151.10

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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.