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Finding the Fourth Proportional to 473,673.56, 653,650.08 and 258,821

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Solution

The fourth proportional to 473,673.56, 653,650.08 and 258,821 is: 357,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,673.56 : 653,650.08 = 258,821 : x
  2. Step 2: Convert to fraction form
    473,673.56/653,650.08 = 258,821/x
  3. Step 3: Cross multiply
    473,673.56x = 653,650.08 × 258,821
  4. Step 4: Simplify right side
    473,673.56x = 169,178,367,355.68
  5. Step 5: Solve for x
    x = 169,178,367,355.68/473,673.56
  6. Step 6: Final answer
    x = 357,162.36

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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.