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Finding the Fourth Proportional to 307,729.70, 460,903.35 and 307,729.70

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Solution

The fourth proportional to 307,729.70, 460,903.35 and 307,729.70 is: 460,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,729.70 : 460,903.35 = 307,729.70 : x
  2. Step 2: Convert to fraction form
    307,729.70/460,903.35 = 307,729.70/x
  3. Step 3: Cross multiply
    307,729.70x = 460,903.35 × 307,729.70
  4. Step 4: Simplify right side
    307,729.70x = 141,833,649,624.50
  5. Step 5: Solve for x
    x = 141,833,649,624.50/307,729.70
  6. Step 6: Final answer
    x = 460,903.35

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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.