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Finding the Fourth Proportional to 289,898.64, 400,084.56 and 162,598.32

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Solution

The fourth proportional to 289,898.64, 400,084.56 and 162,598.32 is: 224,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,898.64 : 400,084.56 = 162,598.32 : x
  2. Step 2: Convert to fraction form
    289,898.64/400,084.56 = 162,598.32/x
  3. Step 3: Cross multiply
    289,898.64x = 400,084.56 × 162,598.32
  4. Step 4: Simplify right side
    289,898.64x = 65,053,077,313.94
  5. Step 5: Solve for x
    x = 65,053,077,313.94/289,898.64
  6. Step 6: Final answer
    x = 224,399.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.