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Finding the Fourth Proportional to 298,492, 411,926.34 and 162,533.40

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Solution

The fourth proportional to 298,492, 411,926.34 and 162,533.40 is: 224,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,492 : 411,926.34 = 162,533.40 : x
  2. Step 2: Convert to fraction form
    298,492/411,926.34 = 162,533.40/x
  3. Step 3: Cross multiply
    298,492x = 411,926.34 × 162,533.40
  4. Step 4: Simplify right side
    298,492x = 66,951,788,589.76
  5. Step 5: Solve for x
    x = 66,951,788,589.76/298,492
  6. Step 6: Final answer
    x = 224,300.11

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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.