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Finding the Fourth Proportional to 516,068.40, 712,049.76 and 301,085.76

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Solution

The fourth proportional to 516,068.40, 712,049.76 and 301,085.76 is: 415,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,068.40 : 712,049.76 = 301,085.76 : x
  2. Step 2: Convert to fraction form
    516,068.40/712,049.76 = 301,085.76/x
  3. Step 3: Cross multiply
    516,068.40x = 712,049.76 × 301,085.76
  4. Step 4: Simplify right side
    516,068.40x = 214,388,043,147.42
  5. Step 5: Solve for x
    x = 214,388,043,147.42/516,068.40
  6. Step 6: Final answer
    x = 415,425.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.