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Finding the Fourth Proportional to 473,529.60, 709,516.80 and 394,214.40

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Solution

The fourth proportional to 473,529.60, 709,516.80 and 394,214.40 is: 590,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,529.60 : 709,516.80 = 394,214.40 : x
  2. Step 2: Convert to fraction form
    473,529.60/709,516.80 = 394,214.40/x
  3. Step 3: Cross multiply
    473,529.60x = 709,516.80 × 394,214.40
  4. Step 4: Simplify right side
    473,529.60x = 279,701,739,601.92
  5. Step 5: Solve for x
    x = 279,701,739,601.92/473,529.60
  6. Step 6: Final answer
    x = 590,674.25

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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.