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Finding the Fourth Proportional to 455,714.48, 682,929.97 and 348,684.05

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Solution

The fourth proportional to 455,714.48, 682,929.97 and 348,684.05 is: 522,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,714.48 : 682,929.97 = 348,684.05 : x
  2. Step 2: Convert to fraction form
    455,714.48/682,929.97 = 348,684.05/x
  3. Step 3: Cross multiply
    455,714.48x = 682,929.97 × 348,684.05
  4. Step 4: Simplify right side
    455,714.48x = 238,126,788,641.59
  5. Step 5: Solve for x
    x = 238,126,788,641.59/455,714.48
  6. Step 6: Final answer
    x = 522,535.05

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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.