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Finding the Fourth Proportional to 471,897.36, 707,838.48 and 172,376.64

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Solution

The fourth proportional to 471,897.36, 707,838.48 and 172,376.64 is: 258,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,897.36 : 707,838.48 = 172,376.64 : x
  2. Step 2: Convert to fraction form
    471,897.36/707,838.48 = 172,376.64/x
  3. Step 3: Cross multiply
    471,897.36x = 707,838.48 × 172,376.64
  4. Step 4: Simplify right side
    471,897.36x = 122,014,818,845.11
  5. Step 5: Solve for x
    x = 122,014,818,845.11/471,897.36
  6. Step 6: Final answer
    x = 258,562.20

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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.