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Finding the Fourth Proportional to 465,729.80, 698,594.70 and 288,582.80

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Solution

The fourth proportional to 465,729.80, 698,594.70 and 288,582.80 is: 432,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,729.80 : 698,594.70 = 288,582.80 : x
  2. Step 2: Convert to fraction form
    465,729.80/698,594.70 = 288,582.80/x
  3. Step 3: Cross multiply
    465,729.80x = 698,594.70 × 288,582.80
  4. Step 4: Simplify right side
    465,729.80x = 201,602,414,591.16
  5. Step 5: Solve for x
    x = 201,602,414,591.16/465,729.80
  6. Step 6: Final answer
    x = 432,874.20

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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.