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Finding the Fourth Proportional to 305,404.02, 458,302.86 and 118,415.52

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Solution

The fourth proportional to 305,404.02, 458,302.86 and 118,415.52 is: 177,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,404.02 : 458,302.86 = 118,415.52 : x
  2. Step 2: Convert to fraction form
    305,404.02/458,302.86 = 118,415.52/x
  3. Step 3: Cross multiply
    305,404.02x = 458,302.86 × 118,415.52
  4. Step 4: Simplify right side
    305,404.02x = 54,270,171,484.39
  5. Step 5: Solve for x
    x = 54,270,171,484.39/305,404.02
  6. Step 6: Final answer
    x = 177,699.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.