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Finding the Fourth Proportional to 364,540.70, 546,811.05 and 312,052.70

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Solution

The fourth proportional to 364,540.70, 546,811.05 and 312,052.70 is: 468,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,540.70 : 546,811.05 = 312,052.70 : x
  2. Step 2: Convert to fraction form
    364,540.70/546,811.05 = 312,052.70/x
  3. Step 3: Cross multiply
    364,540.70x = 546,811.05 × 312,052.70
  4. Step 4: Simplify right side
    364,540.70x = 170,633,864,542.34
  5. Step 5: Solve for x
    x = 170,633,864,542.34/364,540.70
  6. Step 6: Final answer
    x = 468,079.05

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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.