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Finding the Fourth Proportional to 474,090.96, 711,029.70 and 137,056.50

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Solution

The fourth proportional to 474,090.96, 711,029.70 and 137,056.50 is: 205,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,090.96 : 711,029.70 = 137,056.50 : x
  2. Step 2: Convert to fraction form
    474,090.96/711,029.70 = 137,056.50/x
  3. Step 3: Cross multiply
    474,090.96x = 711,029.70 × 137,056.50
  4. Step 4: Simplify right side
    474,090.96x = 97,451,242,078.05
  5. Step 5: Solve for x
    x = 97,451,242,078.05/474,090.96
  6. Step 6: Final answer
    x = 205,553.89

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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.