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Finding the Fourth Proportional to 473,029.96, 652,776.24 and 258,168.28

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Solution

The fourth proportional to 473,029.96, 652,776.24 and 258,168.28 is: 356,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,029.96 : 652,776.24 = 258,168.28 : x
  2. Step 2: Convert to fraction form
    473,029.96/652,776.24 = 258,168.28/x
  3. Step 3: Cross multiply
    473,029.96x = 652,776.24 × 258,168.28
  4. Step 4: Simplify right side
    473,029.96x = 168,526,119,105.67
  5. Step 5: Solve for x
    x = 168,526,119,105.67/473,029.96
  6. Step 6: Final answer
    x = 356,269.44

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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.