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Finding the Fourth Proportional to 473,189.31, 653,011.11 and 258,338.43

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Solution

The fourth proportional to 473,189.31, 653,011.11 and 258,338.43 is: 356,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,189.31 : 653,011.11 = 258,338.43 : x
  2. Step 2: Convert to fraction form
    473,189.31/653,011.11 = 258,338.43/x
  3. Step 3: Cross multiply
    473,189.31x = 653,011.11 × 258,338.43
  4. Step 4: Simplify right side
    473,189.31x = 168,697,864,929.96
  5. Step 5: Solve for x
    x = 168,697,864,929.96/473,189.31
  6. Step 6: Final answer
    x = 356,512.42

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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.