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Finding the Fourth Proportional to 446,712.72, 670,151.16 and 147,210.96

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Solution

The fourth proportional to 446,712.72, 670,151.16 and 147,210.96 is: 220,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,712.72 : 670,151.16 = 147,210.96 : x
  2. Step 2: Convert to fraction form
    446,712.72/670,151.16 = 147,210.96/x
  3. Step 3: Cross multiply
    446,712.72x = 670,151.16 × 147,210.96
  4. Step 4: Simplify right side
    446,712.72x = 98,653,595,608.71
  5. Step 5: Solve for x
    x = 98,653,595,608.71/446,712.72
  6. Step 6: Final answer
    x = 220,843.49

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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.