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Finding the Fourth Proportional to 382,742.94, 528,095.13 and 321,721.08

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Solution

The fourth proportional to 382,742.94, 528,095.13 and 321,721.08 is: 443,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,742.94 : 528,095.13 = 321,721.08 : x
  2. Step 2: Convert to fraction form
    382,742.94/528,095.13 = 321,721.08/x
  3. Step 3: Cross multiply
    382,742.94x = 528,095.13 × 321,721.08
  4. Step 4: Simplify right side
    382,742.94x = 169,899,335,566.34
  5. Step 5: Solve for x
    x = 169,899,335,566.34/382,742.94
  6. Step 6: Final answer
    x = 443,899.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.