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Finding the Fourth Proportional to 469,493.96, 703,038.90 and 258,898.28

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Solution

The fourth proportional to 469,493.96, 703,038.90 and 258,898.28 is: 387,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,493.96 : 703,038.90 = 258,898.28 : x
  2. Step 2: Convert to fraction form
    469,493.96/703,038.90 = 258,898.28/x
  3. Step 3: Cross multiply
    469,493.96x = 703,038.90 × 258,898.28
  4. Step 4: Simplify right side
    469,493.96x = 182,015,561,983.09
  5. Step 5: Solve for x
    x = 182,015,561,983.09/469,493.96
  6. Step 6: Final answer
    x = 387,684.57

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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.