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Finding the Fourth Proportional to 569,413.55, 785,753.26 and 327,657.11

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Solution

The fourth proportional to 569,413.55, 785,753.26 and 327,657.11 is: 452,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,413.55 : 785,753.26 = 327,657.11 : x
  2. Step 2: Convert to fraction form
    569,413.55/785,753.26 = 327,657.11/x
  3. Step 3: Cross multiply
    569,413.55x = 785,753.26 × 327,657.11
  4. Step 4: Simplify right side
    569,413.55x = 257,457,637,596.77
  5. Step 5: Solve for x
    x = 257,457,637,596.77/569,413.55
  6. Step 6: Final answer
    x = 452,145.26

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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.