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Finding the Fourth Proportional to 410,108.60, 565,110.06 and 302,508.20

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Solution

The fourth proportional to 410,108.60, 565,110.06 and 302,508.20 is: 416,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,108.60 : 565,110.06 = 302,508.20 : x
  2. Step 2: Convert to fraction form
    410,108.60/565,110.06 = 302,508.20/x
  3. Step 3: Cross multiply
    410,108.60x = 565,110.06 × 302,508.20
  4. Step 4: Simplify right side
    410,108.60x = 170,950,427,052.49
  5. Step 5: Solve for x
    x = 170,950,427,052.49/410,108.60
  6. Step 6: Final answer
    x = 416,841.85

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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.