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Finding the Fourth Proportional to 465,929.40, 699,550.20 and 288,782.40

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Solution

The fourth proportional to 465,929.40, 699,550.20 and 288,782.40 is: 433,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,929.40 : 699,550.20 = 288,782.40 : x
  2. Step 2: Convert to fraction form
    465,929.40/699,550.20 = 288,782.40/x
  3. Step 3: Cross multiply
    465,929.40x = 699,550.20 × 288,782.40
  4. Step 4: Simplify right side
    465,929.40x = 202,017,785,676.48
  5. Step 5: Solve for x
    x = 202,017,785,676.48/465,929.40
  6. Step 6: Final answer
    x = 433,580.25

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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.