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Finding the Fourth Proportional to 364,520.10, 546,780.15 and 205,087.80

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Solution

The fourth proportional to 364,520.10, 546,780.15 and 205,087.80 is: 307,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,520.10 : 546,780.15 = 205,087.80 : x
  2. Step 2: Convert to fraction form
    364,520.10/546,780.15 = 205,087.80/x
  3. Step 3: Cross multiply
    364,520.10x = 546,780.15 × 205,087.80
  4. Step 4: Simplify right side
    364,520.10x = 112,137,938,047.17
  5. Step 5: Solve for x
    x = 112,137,938,047.17/364,520.10
  6. Step 6: Final answer
    x = 307,631.70

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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.