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Finding the Fourth Proportional to 397,208.61, 595,477.04 and 172,400.06

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Solution

The fourth proportional to 397,208.61, 595,477.04 and 172,400.06 is: 258,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,208.61 : 595,477.04 = 172,400.06 : x
  2. Step 2: Convert to fraction form
    397,208.61/595,477.04 = 172,400.06/x
  3. Step 3: Cross multiply
    397,208.61x = 595,477.04 × 172,400.06
  4. Step 4: Simplify right side
    397,208.61x = 102,660,278,051.32
  5. Step 5: Solve for x
    x = 102,660,278,051.32/397,208.61
  6. Step 6: Final answer
    x = 258,454.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.