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Finding the Fourth Proportional to 282,817.84, 424,204.76 and 164,413.60

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Solution

The fourth proportional to 282,817.84, 424,204.76 and 164,413.60 is: 246,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,817.84 : 424,204.76 = 164,413.60 : x
  2. Step 2: Convert to fraction form
    282,817.84/424,204.76 = 164,413.60/x
  3. Step 3: Cross multiply
    282,817.84x = 424,204.76 × 164,413.60
  4. Step 4: Simplify right side
    282,817.84x = 69,745,031,728.74
  5. Step 5: Solve for x
    x = 69,745,031,728.74/282,817.84
  6. Step 6: Final answer
    x = 246,607.61

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1.5x scale

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.