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Finding the Fourth Proportional to 552,413.47, 762,323.08 and 310,695.98

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Solution

The fourth proportional to 552,413.47, 762,323.08 and 310,695.98 is: 428,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,413.47 : 762,323.08 = 310,695.98 : x
  2. Step 2: Convert to fraction form
    552,413.47/762,323.08 = 310,695.98/x
  3. Step 3: Cross multiply
    552,413.47x = 762,323.08 × 310,695.98
  4. Step 4: Simplify right side
    552,413.47x = 236,850,716,417.22
  5. Step 5: Solve for x
    x = 236,850,716,417.22/552,413.47
  6. Step 6: Final answer
    x = 428,756.23

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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.