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Finding the Fourth Proportional to 536,723.86, 805,115.92 and 172,017.16

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Solution

The fourth proportional to 536,723.86, 805,115.92 and 172,017.16 is: 258,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,723.86 : 805,115.92 = 172,017.16 : x
  2. Step 2: Convert to fraction form
    536,723.86/805,115.92 = 172,017.16/x
  3. Step 3: Cross multiply
    536,723.86x = 805,115.92 × 172,017.16
  4. Step 4: Simplify right side
    536,723.86x = 138,493,750,051.00
  5. Step 5: Solve for x
    x = 138,493,750,051.00/536,723.86
  6. Step 6: Final answer
    x = 258,035.39

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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.