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Finding the Fourth Proportional to 301,871,520.64, 416,584,109.23 and 171,498,482.56

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Solution

The fourth proportional to 301,871,520.64, 416,584,109.23 and 171,498,482.56 is: 236,668,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,871,520.64 : 416,584,109.23 = 171,498,482.56 : x
  2. Step 2: Convert to fraction form
    301,871,520.64/416,584,109.23 = 171,498,482.56/x
  3. Step 3: Cross multiply
    301,871,520.64x = 416,584,109.23 × 171,498,482.56
  4. Step 4: Simplify right side
    301,871,520.64x = 71,443,542,591,554,296
  5. Step 5: Solve for x
    x = 71,443,542,591,554,296/301,871,520.64
  6. Step 6: Final answer
    x = 236,668,707.40

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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.