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Finding the Fourth Proportional to 302,111.27, 416,916.18 and 164,290.67

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Solution

The fourth proportional to 302,111.27, 416,916.18 and 164,290.67 is: 226,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,111.27 : 416,916.18 = 164,290.67 : x
  2. Step 2: Convert to fraction form
    302,111.27/416,916.18 = 164,290.67/x
  3. Step 3: Cross multiply
    302,111.27x = 416,916.18 × 164,290.67
  4. Step 4: Simplify right side
    302,111.27x = 68,495,438,546.04
  5. Step 5: Solve for x
    x = 68,495,438,546.04/302,111.27
  6. Step 6: Final answer
    x = 226,722.55

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1.5x scale

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.