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Finding the Fourth Proportional to 597,038.80, 823,282.12 and 461,094.88

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Solution

The fourth proportional to 597,038.80, 823,282.12 and 461,094.88 is: 635,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,038.80 : 823,282.12 = 461,094.88 : x
  2. Step 2: Convert to fraction form
    597,038.80/823,282.12 = 461,094.88/x
  3. Step 3: Cross multiply
    597,038.80x = 823,282.12 × 461,094.88
  4. Step 4: Simplify right side
    597,038.80x = 379,611,170,327.55
  5. Step 5: Solve for x
    x = 379,611,170,327.55/597,038.80
  6. Step 6: Final answer
    x = 635,823.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.