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Finding the Fourth Proportional to 473,809.56, 653,857.25 and 258,949.56

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Solution

The fourth proportional to 473,809.56, 653,857.25 and 258,949.56 is: 357,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,809.56 : 653,857.25 = 258,949.56 : x
  2. Step 2: Convert to fraction form
    473,809.56/653,857.25 = 258,949.56/x
  3. Step 3: Cross multiply
    473,809.56x = 653,857.25 × 258,949.56
  4. Step 4: Simplify right side
    473,809.56x = 169,316,045,895.56
  5. Step 5: Solve for x
    x = 169,316,045,895.56/473,809.56
  6. Step 6: Final answer
    x = 357,350.42

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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.