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Finding the Fourth Proportional to 307,051.70, 460,389.92 and 147,176.55

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Solution

The fourth proportional to 307,051.70, 460,389.92 and 147,176.55 is: 220,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,051.70 : 460,389.92 = 147,176.55 : x
  2. Step 2: Convert to fraction form
    307,051.70/460,389.92 = 147,176.55/x
  3. Step 3: Cross multiply
    307,051.70x = 460,389.92 × 147,176.55
  4. Step 4: Simplify right side
    307,051.70x = 67,758,599,344.49
  5. Step 5: Solve for x
    x = 67,758,599,344.49/307,051.70
  6. Step 6: Final answer
    x = 220,674.89

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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.