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Finding the Fourth Proportional to 473,076.46, 652,847.82 and 258,221.50

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Solution

The fourth proportional to 473,076.46, 652,847.82 and 258,221.50 is: 356,346.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,076.46 : 652,847.82 = 258,221.50 : x
  2. Step 2: Convert to fraction form
    473,076.46/652,847.82 = 258,221.50/x
  3. Step 3: Cross multiply
    473,076.46x = 652,847.82 × 258,221.50
  4. Step 4: Simplify right side
    473,076.46x = 168,579,343,352.13
  5. Step 5: Solve for x
    x = 168,579,343,352.13/473,076.46
  6. Step 6: Final answer
    x = 356,346.93

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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.