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Finding the Fourth Proportional to 446,643.83, 669,821.76 and 147,053.07

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Solution

The fourth proportional to 446,643.83, 669,821.76 and 147,053.07 is: 220,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,643.83 : 669,821.76 = 147,053.07 : x
  2. Step 2: Convert to fraction form
    446,643.83/669,821.76 = 147,053.07/x
  3. Step 3: Cross multiply
    446,643.83x = 669,821.76 × 147,053.07
  4. Step 4: Simplify right side
    446,643.83x = 98,499,348,672.63
  5. Step 5: Solve for x
    x = 98,499,348,672.63/446,643.83
  6. Step 6: Final answer
    x = 220,532.21

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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.