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Finding the Fourth Proportional to 285,211.46, 393,596.46 and 156,147.77

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Solution

The fourth proportional to 285,211.46, 393,596.46 and 156,147.77 is: 215,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,211.46 : 393,596.46 = 156,147.77 : x
  2. Step 2: Convert to fraction form
    285,211.46/393,596.46 = 156,147.77/x
  3. Step 3: Cross multiply
    285,211.46x = 393,596.46 × 156,147.77
  4. Step 4: Simplify right side
    285,211.46x = 61,459,209,508.89
  5. Step 5: Solve for x
    x = 61,459,209,508.89/285,211.46
  6. Step 6: Final answer
    x = 215,486.47

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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.