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Finding the Fourth Proportional to 462,095.04, 693,142.56 and 195,849.60

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Solution

The fourth proportional to 462,095.04, 693,142.56 and 195,849.60 is: 293,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,095.04 : 693,142.56 = 195,849.60 : x
  2. Step 2: Convert to fraction form
    462,095.04/693,142.56 = 195,849.60/x
  3. Step 3: Cross multiply
    462,095.04x = 693,142.56 × 195,849.60
  4. Step 4: Simplify right side
    462,095.04x = 135,751,693,118.98
  5. Step 5: Solve for x
    x = 135,751,693,118.98/462,095.04
  6. Step 6: Final answer
    x = 293,774.40

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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.