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Finding the Fourth Proportional to 419,914.31, 579,492.78 and 258,875.78

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Solution

The fourth proportional to 419,914.31, 579,492.78 and 258,875.78 is: 357,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,914.31 : 579,492.78 = 258,875.78 : x
  2. Step 2: Convert to fraction form
    419,914.31/579,492.78 = 258,875.78/x
  3. Step 3: Cross multiply
    419,914.31x = 579,492.78 × 258,875.78
  4. Step 4: Simplify right side
    419,914.31x = 150,016,645,426.87
  5. Step 5: Solve for x
    x = 150,016,645,426.87/419,914.31
  6. Step 6: Final answer
    x = 357,255.38

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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.