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Finding the Fourth Proportional to 471,268.80, 705,736.80 and 302,529.60

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Solution

The fourth proportional to 471,268.80, 705,736.80 and 302,529.60 is: 453,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,268.80 : 705,736.80 = 302,529.60 : x
  2. Step 2: Convert to fraction form
    471,268.80/705,736.80 = 302,529.60/x
  3. Step 3: Cross multiply
    471,268.80x = 705,736.80 × 302,529.60
  4. Step 4: Simplify right side
    471,268.80x = 213,506,271,809.28
  5. Step 5: Solve for x
    x = 213,506,271,809.28/471,268.80
  6. Step 6: Final answer
    x = 453,045.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.