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Finding the Fourth Proportional to 298,302.70, 411,653.40 and 164,166.70

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Solution

The fourth proportional to 298,302.70, 411,653.40 and 164,166.70 is: 226,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,302.70 : 411,653.40 = 164,166.70 : x
  2. Step 2: Convert to fraction form
    298,302.70/411,653.40 = 164,166.70/x
  3. Step 3: Cross multiply
    298,302.70x = 411,653.40 × 164,166.70
  4. Step 4: Simplify right side
    298,302.70x = 67,579,780,221.78
  5. Step 5: Solve for x
    x = 67,579,780,221.78/298,302.70
  6. Step 6: Final answer
    x = 226,547.67

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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.