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Finding the Fourth Proportional to 310,549.31, 465,824.07 and 97,333.77

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Solution

The fourth proportional to 310,549.31, 465,824.07 and 97,333.77 is: 146,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,549.31 : 465,824.07 = 97,333.77 : x
  2. Step 2: Convert to fraction form
    310,549.31/465,824.07 = 97,333.77/x
  3. Step 3: Cross multiply
    310,549.31x = 465,824.07 × 97,333.77
  4. Step 4: Simplify right side
    310,549.31x = 45,340,412,889.84
  5. Step 5: Solve for x
    x = 45,340,412,889.84/310,549.31
  6. Step 6: Final answer
    x = 146,000.69

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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.