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Finding the Fourth Proportional to 306,312.72, 459,468.96 and 95,967

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Solution

The fourth proportional to 306,312.72, 459,468.96 and 95,967 is: 143,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,312.72 : 459,468.96 = 95,967 : x
  2. Step 2: Convert to fraction form
    306,312.72/459,468.96 = 95,967/x
  3. Step 3: Cross multiply
    306,312.72x = 459,468.96 × 95,967
  4. Step 4: Simplify right side
    306,312.72x = 44,093,857,684.32
  5. Step 5: Solve for x
    x = 44,093,857,684.32/306,312.72
  6. Step 6: Final answer
    x = 143,950.46

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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.