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Finding the Fourth Proportional to 519,064.32, 716,325.84 and 301,256.55

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Solution

The fourth proportional to 519,064.32, 716,325.84 and 301,256.55 is: 415,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,064.32 : 716,325.84 = 301,256.55 : x
  2. Step 2: Convert to fraction form
    519,064.32/716,325.84 = 301,256.55/x
  3. Step 3: Cross multiply
    519,064.32x = 716,325.84 × 301,256.55
  4. Step 4: Simplify right side
    519,064.32x = 215,797,851,234.25
  5. Step 5: Solve for x
    x = 215,797,851,234.25/519,064.32
  6. Step 6: Final answer
    x = 415,743.95

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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.