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Finding the Fourth Proportional to 588,024.77, 810,615.25 and 415,638.60

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Solution

The fourth proportional to 588,024.77, 810,615.25 and 415,638.60 is: 572,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,024.77 : 810,615.25 = 415,638.60 : x
  2. Step 2: Convert to fraction form
    588,024.77/810,615.25 = 415,638.60/x
  3. Step 3: Cross multiply
    588,024.77x = 810,615.25 × 415,638.60
  4. Step 4: Simplify right side
    588,024.77x = 336,922,985,128.39
  5. Step 5: Solve for x
    x = 336,922,985,128.39/588,024.77
  6. Step 6: Final answer
    x = 572,974.14

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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.