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Finding the Fourth Proportional to 414,007.70, 619,699.35 and 414,007.70

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Solution

The fourth proportional to 414,007.70, 619,699.35 and 414,007.70 is: 619,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,007.70 : 619,699.35 = 414,007.70 : x
  2. Step 2: Convert to fraction form
    414,007.70/619,699.35 = 414,007.70/x
  3. Step 3: Cross multiply
    414,007.70x = 619,699.35 × 414,007.70
  4. Step 4: Simplify right side
    414,007.70x = 256,560,302,585.00
  5. Step 5: Solve for x
    x = 256,560,302,585.00/414,007.70
  6. Step 6: Final answer
    x = 619,699.35

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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.