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Finding the Fourth Proportional to 285,294.92, 393,706.98 and 157,970.48

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Solution

The fourth proportional to 285,294.92, 393,706.98 and 157,970.48 is: 217,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,294.92 : 393,706.98 = 157,970.48 : x
  2. Step 2: Convert to fraction form
    285,294.92/393,706.98 = 157,970.48/x
  3. Step 3: Cross multiply
    285,294.92x = 393,706.98 × 157,970.48
  4. Step 4: Simplify right side
    285,294.92x = 62,194,080,609.95
  5. Step 5: Solve for x
    x = 62,194,080,609.95/285,294.92
  6. Step 6: Final answer
    x = 217,999.26

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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.