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Finding the Fourth Proportional to 597,185.40, 894,892.02 and 438,638.84

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Solution

The fourth proportional to 597,185.40, 894,892.02 and 438,638.84 is: 657,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,185.40 : 894,892.02 = 438,638.84 : x
  2. Step 2: Convert to fraction form
    597,185.40/894,892.02 = 438,638.84/x
  3. Step 3: Cross multiply
    597,185.40x = 894,892.02 × 438,638.84
  4. Step 4: Simplify right side
    597,185.40x = 392,534,397,578.06
  5. Step 5: Solve for x
    x = 392,534,397,578.06/597,185.40
  6. Step 6: Final answer
    x = 657,307.43

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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.