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Finding the Fourth Proportional to 468,104.67, 703,312.47 and 299,698.38

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Solution

The fourth proportional to 468,104.67, 703,312.47 and 299,698.38 is: 450,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,104.67 : 703,312.47 = 299,698.38 : x
  2. Step 2: Convert to fraction form
    468,104.67/703,312.47 = 299,698.38/x
  3. Step 3: Cross multiply
    468,104.67x = 703,312.47 × 299,698.38
  4. Step 4: Simplify right side
    468,104.67x = 210,781,607,892.80
  5. Step 5: Solve for x
    x = 210,781,607,892.80/468,104.67
  6. Step 6: Final answer
    x = 450,287.34

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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.