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Finding the Fourth Proportional to 509,884.80, 765,045.90 and 260,566.80

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Solution

The fourth proportional to 509,884.80, 765,045.90 and 260,566.80 is: 390,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,884.80 : 765,045.90 = 260,566.80 : x
  2. Step 2: Convert to fraction form
    509,884.80/765,045.90 = 260,566.80/x
  3. Step 3: Cross multiply
    509,884.80x = 765,045.90 × 260,566.80
  4. Step 4: Simplify right side
    509,884.80x = 199,345,562,016.12
  5. Step 5: Solve for x
    x = 199,345,562,016.12/509,884.80
  6. Step 6: Final answer
    x = 390,961.96

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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.