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Finding the Fourth Proportional to 546,811.10, 820,216.65 and 546,811.10

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Solution

The fourth proportional to 546,811.10, 820,216.65 and 546,811.10 is: 820,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,811.10 : 820,216.65 = 546,811.10 : x
  2. Step 2: Convert to fraction form
    546,811.10/820,216.65 = 546,811.10/x
  3. Step 3: Cross multiply
    546,811.10x = 820,216.65 × 546,811.10
  4. Step 4: Simplify right side
    546,811.10x = 448,503,568,624.82
  5. Step 5: Solve for x
    x = 448,503,568,624.82/546,811.10
  6. Step 6: Final answer
    x = 820,216.65

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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.