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Finding the Fourth Proportional to 595,202.35, 821,614.79 and 414,019.42

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Solution

The fourth proportional to 595,202.35, 821,614.79 and 414,019.42 is: 571,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,202.35 : 821,614.79 = 414,019.42 : x
  2. Step 2: Convert to fraction form
    595,202.35/821,614.79 = 414,019.42/x
  3. Step 3: Cross multiply
    595,202.35x = 821,614.79 × 414,019.42
  4. Step 4: Simplify right side
    595,202.35x = 340,164,476,749.13
  5. Step 5: Solve for x
    x = 340,164,476,749.13/595,202.35
  6. Step 6: Final answer
    x = 571,510.65

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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.