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Finding the Fourth Proportional to 309,504.34, 464,256.65 and 204,298.71

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Solution

The fourth proportional to 309,504.34, 464,256.65 and 204,298.71 is: 306,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,504.34 : 464,256.65 = 204,298.71 : x
  2. Step 2: Convert to fraction form
    309,504.34/464,256.65 = 204,298.71/x
  3. Step 3: Cross multiply
    309,504.34x = 464,256.65 × 204,298.71
  4. Step 4: Simplify right side
    309,504.34x = 94,847,034,703.92
  5. Step 5: Solve for x
    x = 94,847,034,703.92/309,504.34
  6. Step 6: Final answer
    x = 306,448.16

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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.