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Finding the Fourth Proportional to 588,480, 812,115.36 and 320,208

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Solution

The fourth proportional to 588,480, 812,115.36 and 320,208 is: 441,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,480 : 812,115.36 = 320,208 : x
  2. Step 2: Convert to fraction form
    588,480/812,115.36 = 320,208/x
  3. Step 3: Cross multiply
    588,480x = 812,115.36 × 320,208
  4. Step 4: Simplify right side
    588,480x = 260,045,835,194.88
  5. Step 5: Solve for x
    x = 260,045,835,194.88/588,480
  6. Step 6: Final answer
    x = 441,894.09

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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.