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Finding the Fourth Proportional to 284,554.60, 426,270.30 and 144,413.80

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Solution

The fourth proportional to 284,554.60, 426,270.30 and 144,413.80 is: 216,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,554.60 : 426,270.30 = 144,413.80 : x
  2. Step 2: Convert to fraction form
    284,554.60/426,270.30 = 144,413.80/x
  3. Step 3: Cross multiply
    284,554.60x = 426,270.30 × 144,413.80
  4. Step 4: Simplify right side
    284,554.60x = 61,559,313,850.14
  5. Step 5: Solve for x
    x = 61,559,313,850.14/284,554.60
  6. Step 6: Final answer
    x = 216,335.68

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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.