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Finding the Fourth Proportional to 253,624.32, 380,014.08 and 164,766.72

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Solution

The fourth proportional to 253,624.32, 380,014.08 and 164,766.72 is: 246,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,624.32 : 380,014.08 = 164,766.72 : x
  2. Step 2: Convert to fraction form
    253,624.32/380,014.08 = 164,766.72/x
  3. Step 3: Cross multiply
    253,624.32x = 380,014.08 × 164,766.72
  4. Step 4: Simplify right side
    253,624.32x = 62,613,673,515.42
  5. Step 5: Solve for x
    x = 62,613,673,515.42/253,624.32
  6. Step 6: Final answer
    x = 246,875.67

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1.5x scale

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.