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Finding the Fourth Proportional to 465,674.60, 698,339.10 and 185,133.80

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Solution

The fourth proportional to 465,674.60, 698,339.10 and 185,133.80 is: 277,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,674.60 : 698,339.10 = 185,133.80 : x
  2. Step 2: Convert to fraction form
    465,674.60/698,339.10 = 185,133.80/x
  3. Step 3: Cross multiply
    465,674.60x = 698,339.10 × 185,133.80
  4. Step 4: Simplify right side
    465,674.60x = 129,286,171,271.58
  5. Step 5: Solve for x
    x = 129,286,171,271.58/465,674.60
  6. Step 6: Final answer
    x = 277,632.00

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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.