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Finding the Fourth Proportional to 294,994.76, 407,092.02 and 160,858.76

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Solution

The fourth proportional to 294,994.76, 407,092.02 and 160,858.76 is: 221,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,994.76 : 407,092.02 = 160,858.76 : x
  2. Step 2: Convert to fraction form
    294,994.76/407,092.02 = 160,858.76/x
  3. Step 3: Cross multiply
    294,994.76x = 407,092.02 × 160,858.76
  4. Step 4: Simplify right side
    294,994.76x = 65,484,317,543.10
  5. Step 5: Solve for x
    x = 65,484,317,543.10/294,994.76
  6. Step 6: Final answer
    x = 221,984.68

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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.