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Finding the Fourth Proportional to 536,413.09, 805,323.26 and 359,711.05

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Solution

The fourth proportional to 536,413.09, 805,323.26 and 359,711.05 is: 540,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,413.09 : 805,323.26 = 359,711.05 : x
  2. Step 2: Convert to fraction form
    536,413.09/805,323.26 = 359,711.05/x
  3. Step 3: Cross multiply
    536,413.09x = 805,323.26 × 359,711.05
  4. Step 4: Simplify right side
    536,413.09x = 289,683,675,444.02
  5. Step 5: Solve for x
    x = 289,683,675,444.02/536,413.09
  6. Step 6: Final answer
    x = 540,038.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.