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Finding the Fourth Proportional to 459,793.48, 634,520.64 and 258,589.48

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Solution

The fourth proportional to 459,793.48, 634,520.64 and 258,589.48 is: 356,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,793.48 : 634,520.64 = 258,589.48 : x
  2. Step 2: Convert to fraction form
    459,793.48/634,520.64 = 258,589.48/x
  3. Step 3: Cross multiply
    459,793.48x = 634,520.64 × 258,589.48
  4. Step 4: Simplify right side
    459,793.48x = 164,080,362,346.87
  5. Step 5: Solve for x
    x = 164,080,362,346.87/459,793.48
  6. Step 6: Final answer
    x = 356,856.65

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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.