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Finding the Fourth Proportional to 305,602.76, 458,406.46 and 116,012.04

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Solution

The fourth proportional to 305,602.76, 458,406.46 and 116,012.04 is: 174,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,602.76 : 458,406.46 = 116,012.04 : x
  2. Step 2: Convert to fraction form
    305,602.76/458,406.46 = 116,012.04/x
  3. Step 3: Cross multiply
    305,602.76x = 458,406.46 × 116,012.04
  4. Step 4: Simplify right side
    305,602.76x = 53,180,668,573.78
  5. Step 5: Solve for x
    x = 53,180,668,573.78/305,602.76
  6. Step 6: Final answer
    x = 174,018.94

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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.