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Finding the Fourth Proportional to 443,492.70, 665,109.45 and 159,150.30

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Solution

The fourth proportional to 443,492.70, 665,109.45 and 159,150.30 is: 238,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,492.70 : 665,109.45 = 159,150.30 : x
  2. Step 2: Convert to fraction form
    443,492.70/665,109.45 = 159,150.30/x
  3. Step 3: Cross multiply
    443,492.70x = 665,109.45 × 159,150.30
  4. Step 4: Simplify right side
    443,492.70x = 105,852,368,500.34
  5. Step 5: Solve for x
    x = 105,852,368,500.34/443,492.70
  6. Step 6: Final answer
    x = 238,678.94

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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.