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Finding the Fourth Proportional to 310,589.23, 465,870.30 and 97,352.28

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Solution

The fourth proportional to 310,589.23, 465,870.30 and 97,352.28 is: 146,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,589.23 : 465,870.30 = 97,352.28 : x
  2. Step 2: Convert to fraction form
    310,589.23/465,870.30 = 97,352.28/x
  3. Step 3: Cross multiply
    310,589.23x = 465,870.30 × 97,352.28
  4. Step 4: Simplify right side
    310,589.23x = 45,353,535,524.21
  5. Step 5: Solve for x
    x = 45,353,535,524.21/310,589.23
  6. Step 6: Final answer
    x = 146,024.17

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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.