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Finding the Fourth Proportional to 298,491.63, 411,925.82 and 162,533.02

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Solution

The fourth proportional to 298,491.63, 411,925.82 and 162,533.02 is: 224,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,491.63 : 411,925.82 = 162,533.02 : x
  2. Step 2: Convert to fraction form
    298,491.63/411,925.82 = 162,533.02/x
  3. Step 3: Cross multiply
    298,491.63x = 411,925.82 × 162,533.02
  4. Step 4: Simplify right side
    298,491.63x = 66,951,547,540.58
  5. Step 5: Solve for x
    x = 66,951,547,540.58/298,491.63
  6. Step 6: Final answer
    x = 224,299.58

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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.