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Finding the Fourth Proportional to 301,429.48, 416,015.94 and 180,575.86

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Solution

The fourth proportional to 301,429.48, 416,015.94 and 180,575.86 is: 249,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,429.48 : 416,015.94 = 180,575.86 : x
  2. Step 2: Convert to fraction form
    301,429.48/416,015.94 = 180,575.86/x
  3. Step 3: Cross multiply
    301,429.48x = 416,015.94 × 180,575.86
  4. Step 4: Simplify right side
    301,429.48x = 75,122,436,139.21
  5. Step 5: Solve for x
    x = 75,122,436,139.21/301,429.48
  6. Step 6: Final answer
    x = 249,220.60

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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.