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Finding the Fourth Proportional to 382,407.13, 573,532.93 and 363,438.55

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Solution

The fourth proportional to 382,407.13, 573,532.93 and 363,438.55 is: 545,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,407.13 : 573,532.93 = 363,438.55 : x
  2. Step 2: Convert to fraction form
    382,407.13/573,532.93 = 363,438.55/x
  3. Step 3: Cross multiply
    382,407.13x = 573,532.93 × 363,438.55
  4. Step 4: Simplify right side
    382,407.13x = 208,443,976,456.45
  5. Step 5: Solve for x
    x = 208,443,976,456.45/382,407.13
  6. Step 6: Final answer
    x = 545,083.92

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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.