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Finding the Fourth Proportional to 519,184.16, 716,480.90 and 301,443.88

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Solution

The fourth proportional to 519,184.16, 716,480.90 and 301,443.88 is: 415,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,184.16 : 716,480.90 = 301,443.88 : x
  2. Step 2: Convert to fraction form
    519,184.16/716,480.90 = 301,443.88/x
  3. Step 3: Cross multiply
    519,184.16x = 716,480.90 × 301,443.88
  4. Step 4: Simplify right side
    519,184.16x = 215,978,782,441.89
  5. Step 5: Solve for x
    x = 215,978,782,441.89/519,184.16
  6. Step 6: Final answer
    x = 415,996.48

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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.