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Finding the Fourth Proportional to 314,114.88, 433,489.86 and 180,004.80

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Solution

The fourth proportional to 314,114.88, 433,489.86 and 180,004.80 is: 248,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,114.88 : 433,489.86 = 180,004.80 : x
  2. Step 2: Convert to fraction form
    314,114.88/433,489.86 = 180,004.80/x
  3. Step 3: Cross multiply
    314,114.88x = 433,489.86 × 180,004.80
  4. Step 4: Simplify right side
    314,114.88x = 78,030,255,551.33
  5. Step 5: Solve for x
    x = 78,030,255,551.33/314,114.88
  6. Step 6: Final answer
    x = 248,413.11

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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.