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Finding the Fourth Proportional to 385,312.86, 531,707.22 and 210,847.68

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Solution

The fourth proportional to 385,312.86, 531,707.22 and 210,847.68 is: 290,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,312.86 : 531,707.22 = 210,847.68 : x
  2. Step 2: Convert to fraction form
    385,312.86/531,707.22 = 210,847.68/x
  3. Step 3: Cross multiply
    385,312.86x = 531,707.22 × 210,847.68
  4. Step 4: Simplify right side
    385,312.86x = 112,109,233,776.25
  5. Step 5: Solve for x
    x = 112,109,233,776.25/385,312.86
  6. Step 6: Final answer
    x = 290,956.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.