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Finding the Fourth Proportional to 473,106.30, 709,659.45 and 379,794.30

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Solution

The fourth proportional to 473,106.30, 709,659.45 and 379,794.30 is: 569,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,106.30 : 709,659.45 = 379,794.30 : x
  2. Step 2: Convert to fraction form
    473,106.30/709,659.45 = 379,794.30/x
  3. Step 3: Cross multiply
    473,106.30x = 709,659.45 × 379,794.30
  4. Step 4: Simplify right side
    473,106.30x = 269,524,614,051.14
  5. Step 5: Solve for x
    x = 269,524,614,051.14/473,106.30
  6. Step 6: Final answer
    x = 569,691.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.