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Finding the Fourth Proportional to 713,053.12, 1,068,859.89 and 447,000.52

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Solution

The fourth proportional to 713,053.12, 1,068,859.89 and 447,000.52 is: 670,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,053.12 : 1,068,859.89 = 447,000.52 : x
  2. Step 2: Convert to fraction form
    713,053.12/1,068,859.89 = 447,000.52/x
  3. Step 3: Cross multiply
    713,053.12x = 1,068,859.89 × 447,000.52
  4. Step 4: Simplify right side
    713,053.12x = 477,780,926,637.14
  5. Step 5: Solve for x
    x = 477,780,926,637.14/713,053.12
  6. Step 6: Final answer
    x = 670,049.56

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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.