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Finding the Fourth Proportional to 597,193.20, 893,602.80 and 439,729.20

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Solution

The fourth proportional to 597,193.20, 893,602.80 and 439,729.20 is: 657,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,193.20 : 893,602.80 = 439,729.20 : x
  2. Step 2: Convert to fraction form
    597,193.20/893,602.80 = 439,729.20/x
  3. Step 3: Cross multiply
    597,193.20x = 893,602.80 × 439,729.20
  4. Step 4: Simplify right side
    597,193.20x = 392,943,244,361.76
  5. Step 5: Solve for x
    x = 392,943,244,361.76/597,193.20
  6. Step 6: Final answer
    x = 657,983.45

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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.