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Finding the Fourth Proportional to 301,024.17, 415,103.27 and 210,347.10

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Solution

The fourth proportional to 301,024.17, 415,103.27 and 210,347.10 is: 290,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,024.17 : 415,103.27 = 210,347.10 : x
  2. Step 2: Convert to fraction form
    301,024.17/415,103.27 = 210,347.10/x
  3. Step 3: Cross multiply
    301,024.17x = 415,103.27 × 210,347.10
  4. Step 4: Simplify right side
    301,024.17x = 87,315,767,993.28
  5. Step 5: Solve for x
    x = 87,315,767,993.28/301,024.17
  6. Step 6: Final answer
    x = 290,062.32

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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.