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Finding the Fourth Proportional to 306,538.64, 459,676.72 and 96,192.98

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Solution

The fourth proportional to 306,538.64, 459,676.72 and 96,192.98 is: 144,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,538.64 : 459,676.72 = 96,192.98 : x
  2. Step 2: Convert to fraction form
    306,538.64/459,676.72 = 96,192.98/x
  3. Step 3: Cross multiply
    306,538.64x = 459,676.72 × 96,192.98
  4. Step 4: Simplify right side
    306,538.64x = 44,217,673,533.43
  5. Step 5: Solve for x
    x = 44,217,673,533.43/306,538.64
  6. Step 6: Final answer
    x = 144,248.29

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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.