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Finding the Fourth Proportional to 613,307.70, 920,945.70 and 414,509.40

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Solution

The fourth proportional to 613,307.70, 920,945.70 and 414,509.40 is: 622,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,307.70 : 920,945.70 = 414,509.40 : x
  2. Step 2: Convert to fraction form
    613,307.70/920,945.70 = 414,509.40/x
  3. Step 3: Cross multiply
    613,307.70x = 920,945.70 × 414,509.40
  4. Step 4: Simplify right side
    613,307.70x = 381,740,649,539.58
  5. Step 5: Solve for x
    x = 381,740,649,539.58/613,307.70
  6. Step 6: Final answer
    x = 622,429.25

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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.