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Finding the Fourth Proportional to 385,216.40, 577,594.20 and 198,592.40

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Solution

The fourth proportional to 385,216.40, 577,594.20 and 198,592.40 is: 297,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,216.40 : 577,594.20 = 198,592.40 : x
  2. Step 2: Convert to fraction form
    385,216.40/577,594.20 = 198,592.40/x
  3. Step 3: Cross multiply
    385,216.40x = 577,594.20 × 198,592.40
  4. Step 4: Simplify right side
    385,216.40x = 114,705,818,404.08
  5. Step 5: Solve for x
    x = 114,705,818,404.08/385,216.40
  6. Step 6: Final answer
    x = 297,769.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.