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Finding the Fourth Proportional to 451,858, 677,314.06 and 152,235.06

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Solution

The fourth proportional to 451,858, 677,314.06 and 152,235.06 is: 228,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,858 : 677,314.06 = 152,235.06 : x
  2. Step 2: Convert to fraction form
    451,858/677,314.06 = 152,235.06/x
  3. Step 3: Cross multiply
    451,858x = 677,314.06 × 152,235.06
  4. Step 4: Simplify right side
    451,858x = 103,110,946,562.94
  5. Step 5: Solve for x
    x = 103,110,946,562.94/451,858
  6. Step 6: Final answer
    x = 228,193.25

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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.