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Finding the Fourth Proportional to 364,706.56, 546,685.62 and 140,006.49

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Solution

The fourth proportional to 364,706.56, 546,685.62 and 140,006.49 is: 209,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,706.56 : 546,685.62 = 140,006.49 : x
  2. Step 2: Convert to fraction form
    364,706.56/546,685.62 = 140,006.49/x
  3. Step 3: Cross multiply
    364,706.56x = 546,685.62 × 140,006.49
  4. Step 4: Simplify right side
    364,706.56x = 76,539,534,789.67
  5. Step 5: Solve for x
    x = 76,539,534,789.67/364,706.56
  6. Step 6: Final answer
    x = 209,866.08

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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.