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Finding the Fourth Proportional to 295,630.80, 407,970.43 and 159,664.74

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Solution

The fourth proportional to 295,630.80, 407,970.43 and 159,664.74 is: 220,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,630.80 : 407,970.43 = 159,664.74 : x
  2. Step 2: Convert to fraction form
    295,630.80/407,970.43 = 159,664.74/x
  3. Step 3: Cross multiply
    295,630.80x = 407,970.43 × 159,664.74
  4. Step 4: Simplify right side
    295,630.80x = 65,138,492,633.64
  5. Step 5: Solve for x
    x = 65,138,492,633.64/295,630.80
  6. Step 6: Final answer
    x = 220,337.30

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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.