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Finding the Fourth Proportional to 464,341.01, 696,511.67 and 306,532.56

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Solution

The fourth proportional to 464,341.01, 696,511.67 and 306,532.56 is: 459,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,341.01 : 696,511.67 = 306,532.56 : x
  2. Step 2: Convert to fraction form
    464,341.01/696,511.67 = 306,532.56/x
  3. Step 3: Cross multiply
    464,341.01x = 696,511.67 × 306,532.56
  4. Step 4: Simplify right side
    464,341.01x = 213,503,505,274.98
  5. Step 5: Solve for x
    x = 213,503,505,274.98/464,341.01
  6. Step 6: Final answer
    x = 459,798.94

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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.