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Finding the Fourth Proportional to 473,189.54, 652,998.24 and 258,329.61

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Solution

The fourth proportional to 473,189.54, 652,998.24 and 258,329.61 is: 356,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,189.54 : 652,998.24 = 258,329.61 : x
  2. Step 2: Convert to fraction form
    473,189.54/652,998.24 = 258,329.61/x
  3. Step 3: Cross multiply
    473,189.54x = 652,998.24 × 258,329.61
  4. Step 4: Simplify right side
    473,189.54x = 168,688,780,669.89
  5. Step 5: Solve for x
    x = 168,688,780,669.89/473,189.54
  6. Step 6: Final answer
    x = 356,493.05

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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.