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Finding the Fourth Proportional to 301,151.52, 415,575.90 and 180,360

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Solution

The fourth proportional to 301,151.52, 415,575.90 and 180,360 is: 248,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,151.52 : 415,575.90 = 180,360 : x
  2. Step 2: Convert to fraction form
    301,151.52/415,575.90 = 180,360/x
  3. Step 3: Cross multiply
    301,151.52x = 415,575.90 × 180,360
  4. Step 4: Simplify right side
    301,151.52x = 74,953,269,324
  5. Step 5: Solve for x
    x = 74,953,269,324/301,151.52
  6. Step 6: Final answer
    x = 248,888.90

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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.