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Finding the Fourth Proportional to 540,893.72, 746,426.94 and 299,157.32

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Solution

The fourth proportional to 540,893.72, 746,426.94 and 299,157.32 is: 412,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,893.72 : 746,426.94 = 299,157.32 : x
  2. Step 2: Convert to fraction form
    540,893.72/746,426.94 = 299,157.32/x
  3. Step 3: Cross multiply
    540,893.72x = 746,426.94 × 299,157.32
  4. Step 4: Simplify right side
    540,893.72x = 223,299,082,946.20
  5. Step 5: Solve for x
    x = 223,299,082,946.20/540,893.72
  6. Step 6: Final answer
    x = 412,833.57

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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.