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Finding the Fourth Proportional to 294,192, 405,984.96 and 160,056.96

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Solution

The fourth proportional to 294,192, 405,984.96 and 160,056.96 is: 220,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,192 : 405,984.96 = 160,056.96 : x
  2. Step 2: Convert to fraction form
    294,192/405,984.96 = 160,056.96/x
  3. Step 3: Cross multiply
    294,192x = 405,984.96 × 160,056.96
  4. Step 4: Simplify right side
    294,192x = 64,980,718,503.32
  5. Step 5: Solve for x
    x = 64,980,718,503.32/294,192
  6. Step 6: Final answer
    x = 220,878.60

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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.