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Finding the Fourth Proportional to 379,328.32, 523,547.81 and 226,289.92

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Solution

The fourth proportional to 379,328.32, 523,547.81 and 226,289.92 is: 312,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,328.32 : 523,547.81 = 226,289.92 : x
  2. Step 2: Convert to fraction form
    379,328.32/523,547.81 = 226,289.92/x
  3. Step 3: Cross multiply
    379,328.32x = 523,547.81 × 226,289.92
  4. Step 4: Simplify right side
    379,328.32x = 118,473,589,381.38
  5. Step 5: Solve for x
    x = 118,473,589,381.38/379,328.32
  6. Step 6: Final answer
    x = 312,324.67

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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.