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Finding the Fourth Proportional to 516,267, 772,742.16 and 275,779.62

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Solution

The fourth proportional to 516,267, 772,742.16 and 275,779.62 is: 412,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,267 : 772,742.16 = 275,779.62 : x
  2. Step 2: Convert to fraction form
    516,267/772,742.16 = 275,779.62/x
  3. Step 3: Cross multiply
    516,267x = 772,742.16 × 275,779.62
  4. Step 4: Simplify right side
    516,267x = 213,106,539,242.78
  5. Step 5: Solve for x
    x = 213,106,539,242.78/516,267
  6. Step 6: Final answer
    x = 412,783.58

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