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Finding the Fourth Proportional to 382,564.40, 573,846.60 and 205,417.40

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Solution

The fourth proportional to 382,564.40, 573,846.60 and 205,417.40 is: 308,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,564.40 : 573,846.60 = 205,417.40 : x
  2. Step 2: Convert to fraction form
    382,564.40/573,846.60 = 205,417.40/x
  3. Step 3: Cross multiply
    382,564.40x = 573,846.60 × 205,417.40
  4. Step 4: Simplify right side
    382,564.40x = 117,878,076,570.84
  5. Step 5: Solve for x
    x = 117,878,076,570.84/382,564.40
  6. Step 6: Final answer
    x = 308,126.10

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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.