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Finding the Fourth Proportional to 395,737.34, 546,115.40 and 214,444.61

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Solution

The fourth proportional to 395,737.34, 546,115.40 and 214,444.61 is: 295,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,737.34 : 546,115.40 = 214,444.61 : x
  2. Step 2: Convert to fraction form
    395,737.34/546,115.40 = 214,444.61/x
  3. Step 3: Cross multiply
    395,737.34x = 546,115.40 × 214,444.61
  4. Step 4: Simplify right side
    395,737.34x = 117,111,502,895.77
  5. Step 5: Solve for x
    x = 117,111,502,895.77/395,737.34
  6. Step 6: Final answer
    x = 295,932.41

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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.