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Finding the Fourth Proportional to 356,413.94, 491,851.59 and 193,070.81

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Solution

The fourth proportional to 356,413.94, 491,851.59 and 193,070.81 is: 266,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,413.94 : 491,851.59 = 193,070.81 : x
  2. Step 2: Convert to fraction form
    356,413.94/491,851.59 = 193,070.81/x
  3. Step 3: Cross multiply
    356,413.94x = 491,851.59 × 193,070.81
  4. Step 4: Simplify right side
    356,413.94x = 94,962,184,881.09
  5. Step 5: Solve for x
    x = 94,962,184,881.09/356,413.94
  6. Step 6: Final answer
    x = 266,437.91

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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.