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Finding the Fourth Proportional to 382,364.30, 573,983.85 and 224,681.60

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Solution

The fourth proportional to 382,364.30, 573,983.85 and 224,681.60 is: 337,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,364.30 : 573,983.85 = 224,681.60 : x
  2. Step 2: Convert to fraction form
    382,364.30/573,983.85 = 224,681.60/x
  3. Step 3: Cross multiply
    382,364.30x = 573,983.85 × 224,681.60
  4. Step 4: Simplify right side
    382,364.30x = 128,963,609,792.16
  5. Step 5: Solve for x
    x = 128,963,609,792.16/382,364.30
  6. Step 6: Final answer
    x = 337,279.42

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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.