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Finding the Fourth Proportional to 407,070.79, 610,666.34 and 140,759.80

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Solution

The fourth proportional to 407,070.79, 610,666.34 and 140,759.80 is: 211,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,070.79 : 610,666.34 = 140,759.80 : x
  2. Step 2: Convert to fraction form
    407,070.79/610,666.34 = 140,759.80/x
  3. Step 3: Cross multiply
    407,070.79x = 610,666.34 × 140,759.80
  4. Step 4: Simplify right side
    407,070.79x = 85,957,269,654.67
  5. Step 5: Solve for x
    x = 85,957,269,654.67/407,070.79
  6. Step 6: Final answer
    x = 211,160.50

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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.