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Finding the Fourth Proportional to 354,914, 532,108.56 and 214,641.44

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Solution

The fourth proportional to 354,914, 532,108.56 and 214,641.44 is: 321,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,914 : 532,108.56 = 214,641.44 : x
  2. Step 2: Convert to fraction form
    354,914/532,108.56 = 214,641.44/x
  3. Step 3: Cross multiply
    354,914x = 532,108.56 × 214,641.44
  4. Step 4: Simplify right side
    354,914x = 114,212,547,554.73
  5. Step 5: Solve for x
    x = 114,212,547,554.73/354,914
  6. Step 6: Final answer
    x = 321,803.44

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1.5x scale

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.