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Finding the Fourth Proportional to 382,094.80, 573,725.40 and 293,448.40

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Solution

The fourth proportional to 382,094.80, 573,725.40 and 293,448.40 is: 440,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,094.80 : 573,725.40 = 293,448.40 : x
  2. Step 2: Convert to fraction form
    382,094.80/573,725.40 = 293,448.40/x
  3. Step 3: Cross multiply
    382,094.80x = 573,725.40 × 293,448.40
  4. Step 4: Simplify right side
    382,094.80x = 168,358,800,669.36
  5. Step 5: Solve for x
    x = 168,358,800,669.36/382,094.80
  6. Step 6: Final answer
    x = 440,620.50

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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.