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Finding the Fourth Proportional to 294,177.60, 405,964.80 and 160,041.60

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Solution

The fourth proportional to 294,177.60, 405,964.80 and 160,041.60 is: 220,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,177.60 : 405,964.80 = 160,041.60 : x
  2. Step 2: Convert to fraction form
    294,177.60/405,964.80 = 160,041.60/x
  3. Step 3: Cross multiply
    294,177.60x = 405,964.80 × 160,041.60
  4. Step 4: Simplify right side
    294,177.60x = 64,971,256,135.68
  5. Step 5: Solve for x
    x = 64,971,256,135.68/294,177.60
  6. Step 6: Final answer
    x = 220,857.25

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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.