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Finding the Fourth Proportional to 343,413.65, 473,935.12 and 190,466.41

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Solution

The fourth proportional to 343,413.65, 473,935.12 and 190,466.41 is: 262,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,413.65 : 473,935.12 = 190,466.41 : x
  2. Step 2: Convert to fraction form
    343,413.65/473,935.12 = 190,466.41/x
  3. Step 3: Cross multiply
    343,413.65x = 473,935.12 × 190,466.41
  4. Step 4: Simplify right side
    343,413.65x = 90,268,719,218.32
  5. Step 5: Solve for x
    x = 90,268,719,218.32/343,413.65
  6. Step 6: Final answer
    x = 262,857.11

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1.5x scale

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.