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Finding the Fourth Proportional to 471,828.32, 707,570.21 and 172,220.25

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Solution

The fourth proportional to 471,828.32, 707,570.21 and 172,220.25 is: 258,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,828.32 : 707,570.21 = 172,220.25 : x
  2. Step 2: Convert to fraction form
    471,828.32/707,570.21 = 172,220.25/x
  3. Step 3: Cross multiply
    471,828.32x = 707,570.21 × 172,220.25
  4. Step 4: Simplify right side
    471,828.32x = 121,857,919,068.28
  5. Step 5: Solve for x
    x = 121,857,919,068.28/471,828.32
  6. Step 6: Final answer
    x = 258,267.50

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