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Finding the Fourth Proportional to 540,701.10, 746,156.61 and 298,993.86

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Solution

The fourth proportional to 540,701.10, 746,156.61 and 298,993.86 is: 412,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,701.10 : 746,156.61 = 298,993.86 : x
  2. Step 2: Convert to fraction form
    540,701.10/746,156.61 = 298,993.86/x
  3. Step 3: Cross multiply
    540,701.10x = 746,156.61 × 298,993.86
  4. Step 4: Simplify right side
    540,701.10x = 223,096,244,988.42
  5. Step 5: Solve for x
    x = 223,096,244,988.42/540,701.10
  6. Step 6: Final answer
    x = 412,605.49

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Double scale
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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.