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Finding the Fourth Proportional to 654,364.80, 981,547.20 and 550,166.40

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Solution

The fourth proportional to 654,364.80, 981,547.20 and 550,166.40 is: 825,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,364.80 : 981,547.20 = 550,166.40 : x
  2. Step 2: Convert to fraction form
    654,364.80/981,547.20 = 550,166.40/x
  3. Step 3: Cross multiply
    654,364.80x = 981,547.20 × 550,166.40
  4. Step 4: Simplify right side
    654,364.80x = 540,014,289,454.08
  5. Step 5: Solve for x
    x = 540,014,289,454.08/654,364.80
  6. Step 6: Final answer
    x = 825,249.60

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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.