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Finding the Fourth Proportional to 309,543.59, 464,315.42 and 204,337.96

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Solution

The fourth proportional to 309,543.59, 464,315.42 and 204,337.96 is: 306,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,543.59 : 464,315.42 = 204,337.96 : x
  2. Step 2: Convert to fraction form
    309,543.59/464,315.42 = 204,337.96/x
  3. Step 3: Cross multiply
    309,543.59x = 464,315.42 × 204,337.96
  4. Step 4: Simplify right side
    309,543.59x = 94,877,265,069.40
  5. Step 5: Solve for x
    x = 94,877,265,069.40/309,543.59
  6. Step 6: Final answer
    x = 306,506.96

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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.