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Finding the Fourth Proportional to 509,863.80, 765,014.40 and 260,545.80

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Solution

The fourth proportional to 509,863.80, 765,014.40 and 260,545.80 is: 390,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,863.80 : 765,014.40 = 260,545.80 : x
  2. Step 2: Convert to fraction form
    509,863.80/765,014.40 = 260,545.80/x
  3. Step 3: Cross multiply
    509,863.80x = 765,014.40 × 260,545.80
  4. Step 4: Simplify right side
    509,863.80x = 199,321,288,859.52
  5. Step 5: Solve for x
    x = 199,321,288,859.52/509,863.80
  6. Step 6: Final answer
    x = 390,930.46

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1.5x scale

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.