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Finding the Fourth Proportional to 456,149.15, 629,460.42 and 252,188.16

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Solution

The fourth proportional to 456,149.15, 629,460.42 and 252,188.16 is: 348,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,149.15 : 629,460.42 = 252,188.16 : x
  2. Step 2: Convert to fraction form
    456,149.15/629,460.42 = 252,188.16/x
  3. Step 3: Cross multiply
    456,149.15x = 629,460.42 × 252,188.16
  4. Step 4: Simplify right side
    456,149.15x = 158,742,465,112.63
  5. Step 5: Solve for x
    x = 158,742,465,112.63/456,149.15
  6. Step 6: Final answer
    x = 348,005.62

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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.