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Finding the Fourth Proportional to 473,404.50, 710,229.87 and 140,980.50

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Solution

The fourth proportional to 473,404.50, 710,229.87 and 140,980.50 is: 211,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,404.50 : 710,229.87 = 140,980.50 : x
  2. Step 2: Convert to fraction form
    473,404.50/710,229.87 = 140,980.50/x
  3. Step 3: Cross multiply
    473,404.50x = 710,229.87 × 140,980.50
  4. Step 4: Simplify right side
    473,404.50x = 100,128,562,187.54
  5. Step 5: Solve for x
    x = 100,128,562,187.54/473,404.50
  6. Step 6: Final answer
    x = 211,507.42

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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.