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Finding the Fourth Proportional to 473,021.12, 709,154.94 and 273,114.74

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Solution

The fourth proportional to 473,021.12, 709,154.94 and 273,114.74 is: 409,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,021.12 : 709,154.94 = 273,114.74 : x
  2. Step 2: Convert to fraction form
    473,021.12/709,154.94 = 273,114.74/x
  3. Step 3: Cross multiply
    473,021.12x = 709,154.94 × 273,114.74
  4. Step 4: Simplify right side
    473,021.12x = 193,680,667,057.82
  5. Step 5: Solve for x
    x = 193,680,667,057.82/473,021.12
  6. Step 6: Final answer
    x = 409,454.59

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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.