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Finding the Fourth Proportional to 465,830.40, 698,745.60 and 297,868.80

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Solution

The fourth proportional to 465,830.40, 698,745.60 and 297,868.80 is: 446,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,830.40 : 698,745.60 = 297,868.80 : x
  2. Step 2: Convert to fraction form
    465,830.40/698,745.60 = 297,868.80/x
  3. Step 3: Cross multiply
    465,830.40x = 698,745.60 × 297,868.80
  4. Step 4: Simplify right side
    465,830.40x = 208,134,513,377.28
  5. Step 5: Solve for x
    x = 208,134,513,377.28/465,830.40
  6. Step 6: Final answer
    x = 446,803.20

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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.