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Finding the Fourth Proportional to 310,558.21, 465,837.61 and 97,342.80

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Solution

The fourth proportional to 310,558.21, 465,837.61 and 97,342.80 is: 146,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,558.21 : 465,837.61 = 97,342.80 : x
  2. Step 2: Convert to fraction form
    310,558.21/465,837.61 = 97,342.80/x
  3. Step 3: Cross multiply
    310,558.21x = 465,837.61 × 97,342.80
  4. Step 4: Simplify right side
    310,558.21x = 45,345,937,186.45
  5. Step 5: Solve for x
    x = 45,345,937,186.45/310,558.21
  6. Step 6: Final answer
    x = 146,014.29

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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.