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Finding the Fourth Proportional to 473,532.60, 709,521.30 and 394,217.40

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Solution

The fourth proportional to 473,532.60, 709,521.30 and 394,217.40 is: 590,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,532.60 : 709,521.30 = 394,217.40 : x
  2. Step 2: Convert to fraction form
    473,532.60/709,521.30 = 394,217.40/x
  3. Step 3: Cross multiply
    473,532.60x = 709,521.30 × 394,217.40
  4. Step 4: Simplify right side
    473,532.60x = 279,705,642,130.62
  5. Step 5: Solve for x
    x = 279,705,642,130.62/473,532.60
  6. Step 6: Final answer
    x = 590,678.75

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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.