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Finding the Fourth Proportional to 459,961.96, 689,709.18 and 210,430.12

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Solution

The fourth proportional to 459,961.96, 689,709.18 and 210,430.12 is: 315,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,961.96 : 689,709.18 = 210,430.12 : x
  2. Step 2: Convert to fraction form
    459,961.96/689,709.18 = 210,430.12/x
  3. Step 3: Cross multiply
    459,961.96x = 689,709.18 × 210,430.12
  4. Step 4: Simplify right side
    459,961.96x = 145,135,585,512.50
  5. Step 5: Solve for x
    x = 145,135,585,512.50/459,961.96
  6. Step 6: Final answer
    x = 315,538.24

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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.