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Finding the Fourth Proportional to 473,693.78, 709,267.43 and 360,836.38

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Solution

The fourth proportional to 473,693.78, 709,267.43 and 360,836.38 is: 540,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,693.78 : 709,267.43 = 360,836.38 : x
  2. Step 2: Convert to fraction form
    473,693.78/709,267.43 = 360,836.38/x
  3. Step 3: Cross multiply
    473,693.78x = 709,267.43 × 360,836.38
  4. Step 4: Simplify right side
    473,693.78x = 255,929,491,893.10
  5. Step 5: Solve for x
    x = 255,929,491,893.10/473,693.78
  6. Step 6: Final answer
    x = 540,284.68

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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.