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Finding the Fourth Proportional to 587,266.26, 810,413.64 and 342,235.32

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Solution

The fourth proportional to 587,266.26, 810,413.64 and 342,235.32 is: 472,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,266.26 : 810,413.64 = 342,235.32 : x
  2. Step 2: Convert to fraction form
    587,266.26/810,413.64 = 342,235.32/x
  3. Step 3: Cross multiply
    587,266.26x = 810,413.64 × 342,235.32
  4. Step 4: Simplify right side
    587,266.26x = 277,352,171,417.77
  5. Step 5: Solve for x
    x = 277,352,171,417.77/587,266.26
  6. Step 6: Final answer
    x = 472,276.70

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Why These Related Problems?

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