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Finding the Fourth Proportional to 385,300.40, 577,720.20 and 198,676.40

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Solution

The fourth proportional to 385,300.40, 577,720.20 and 198,676.40 is: 297,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,300.40 : 577,720.20 = 198,676.40 : x
  2. Step 2: Convert to fraction form
    385,300.40/577,720.20 = 198,676.40/x
  3. Step 3: Cross multiply
    385,300.40x = 577,720.20 × 198,676.40
  4. Step 4: Simplify right side
    385,300.40x = 114,779,369,543.28
  5. Step 5: Solve for x
    x = 114,779,369,543.28/385,300.40
  6. Step 6: Final answer
    x = 297,895.80

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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.