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Finding the Fourth Proportional to 451,714.22, 677,673.54 and 152,186.65

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Solution

The fourth proportional to 451,714.22, 677,673.54 and 152,186.65 is: 228,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,714.22 : 677,673.54 = 152,186.65 : x
  2. Step 2: Convert to fraction form
    451,714.22/677,673.54 = 152,186.65/x
  3. Step 3: Cross multiply
    451,714.22x = 677,673.54 × 152,186.65
  4. Step 4: Simplify right side
    451,714.22x = 103,132,864,152.06
  5. Step 5: Solve for x
    x = 103,132,864,152.06/451,714.22
  6. Step 6: Final answer
    x = 228,314.41

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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.