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Finding the Fourth Proportional to 333,378.50, 460,058.74 and 180,413.30

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Solution

The fourth proportional to 333,378.50, 460,058.74 and 180,413.30 is: 248,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,378.50 : 460,058.74 = 180,413.30 : x
  2. Step 2: Convert to fraction form
    333,378.50/460,058.74 = 180,413.30/x
  3. Step 3: Cross multiply
    333,378.50x = 460,058.74 × 180,413.30
  4. Step 4: Simplify right side
    333,378.50x = 83,000,716,176.36
  5. Step 5: Solve for x
    x = 83,000,716,176.36/333,378.50
  6. Step 6: Final answer
    x = 248,968.42

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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.