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Finding the Fourth Proportional to 597,938.80, 896,461.80 and 361,231.60

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Solution

The fourth proportional to 597,938.80, 896,461.80 and 361,231.60 is: 541,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,938.80 : 896,461.80 = 361,231.60 : x
  2. Step 2: Convert to fraction form
    597,938.80/896,461.80 = 361,231.60/x
  3. Step 3: Cross multiply
    597,938.80x = 896,461.80 × 361,231.60
  4. Step 4: Simplify right side
    597,938.80x = 323,830,330,352.88
  5. Step 5: Solve for x
    x = 323,830,330,352.88/597,938.80
  6. Step 6: Final answer
    x = 541,577.72

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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.