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Finding the Fourth Proportional to 405,695.80, 608,414.10 and 168,981.40

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Solution

The fourth proportional to 405,695.80, 608,414.10 and 168,981.40 is: 253,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,695.80 : 608,414.10 = 168,981.40 : x
  2. Step 2: Convert to fraction form
    405,695.80/608,414.10 = 168,981.40/x
  3. Step 3: Cross multiply
    405,695.80x = 608,414.10 × 168,981.40
  4. Step 4: Simplify right side
    405,695.80x = 102,810,666,397.74
  5. Step 5: Solve for x
    x = 102,810,666,397.74/405,695.80
  6. Step 6: Final answer
    x = 253,418.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.