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Finding the Fourth Proportional to 565,413.20, 780,276.24 and 307,290.16

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Solution

The fourth proportional to 565,413.20, 780,276.24 and 307,290.16 is: 424,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,413.20 : 780,276.24 = 307,290.16 : x
  2. Step 2: Convert to fraction form
    565,413.20/780,276.24 = 307,290.16/x
  3. Step 3: Cross multiply
    565,413.20x = 780,276.24 × 307,290.16
  4. Step 4: Simplify right side
    565,413.20x = 239,771,208,716.65
  5. Step 5: Solve for x
    x = 239,771,208,716.65/565,413.20
  6. Step 6: Final answer
    x = 424,063.69

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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.