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Finding the Fourth Proportional to 301,466.10, 416,024.35 and 165,513.98

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Solution

The fourth proportional to 301,466.10, 416,024.35 and 165,513.98 is: 228,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,466.10 : 416,024.35 = 165,513.98 : x
  2. Step 2: Convert to fraction form
    301,466.10/416,024.35 = 165,513.98/x
  3. Step 3: Cross multiply
    301,466.10x = 416,024.35 × 165,513.98
  4. Step 4: Simplify right side
    301,466.10x = 68,857,847,502.71
  5. Step 5: Solve for x
    x = 68,857,847,502.71/301,466.10
  6. Step 6: Final answer
    x = 228,409.92

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Why These Related Problems?

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