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Finding the Fourth Proportional to 473,426.75, 710,071.76 and 281,413.61

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Solution

The fourth proportional to 473,426.75, 710,071.76 and 281,413.61 is: 422,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,426.75 : 710,071.76 = 281,413.61 : x
  2. Step 2: Convert to fraction form
    473,426.75/710,071.76 = 281,413.61/x
  3. Step 3: Cross multiply
    473,426.75x = 710,071.76 × 281,413.61
  4. Step 4: Simplify right side
    473,426.75x = 199,823,852,383.23
  5. Step 5: Solve for x
    x = 199,823,852,383.23/473,426.75
  6. Step 6: Final answer
    x = 422,079.77

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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.