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Finding the Fourth Proportional to 310,548.81, 465,823.32 and 97,333.27

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Solution

The fourth proportional to 310,548.81, 465,823.32 and 97,333.27 is: 145,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,548.81 : 465,823.32 = 97,333.27 : x
  2. Step 2: Convert to fraction form
    310,548.81/465,823.32 = 97,333.27/x
  3. Step 3: Cross multiply
    310,548.81x = 465,823.32 × 97,333.27
  4. Step 4: Simplify right side
    310,548.81x = 45,340,106,977.86
  5. Step 5: Solve for x
    x = 45,340,106,977.86/310,548.81
  6. Step 6: Final answer
    x = 145,999.94

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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.