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Finding the Fourth Proportional to 473,538.60, 709,530.30 and 394,223.40

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Solution

The fourth proportional to 473,538.60, 709,530.30 and 394,223.40 is: 590,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,538.60 : 709,530.30 = 394,223.40 : x
  2. Step 2: Convert to fraction form
    473,538.60/709,530.30 = 394,223.40/x
  3. Step 3: Cross multiply
    473,538.60x = 709,530.30 × 394,223.40
  4. Step 4: Simplify right side
    473,538.60x = 279,713,447,269.02
  5. Step 5: Solve for x
    x = 279,713,447,269.02/473,538.60
  6. Step 6: Final answer
    x = 590,687.74

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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.