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Finding the Fourth Proportional to 298,492.05, 411,926.40 and 162,533.45

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Solution

The fourth proportional to 298,492.05, 411,926.40 and 162,533.45 is: 224,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,492.05 : 411,926.40 = 162,533.45 : x
  2. Step 2: Convert to fraction form
    298,492.05/411,926.40 = 162,533.45/x
  3. Step 3: Cross multiply
    298,492.05x = 411,926.40 × 162,533.45
  4. Step 4: Simplify right side
    298,492.05x = 66,951,816,878.45
  5. Step 5: Solve for x
    x = 66,951,816,878.45/298,492.05
  6. Step 6: Final answer
    x = 224,300.17

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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.