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Finding the Fourth Proportional to 465,830.90, 698,746.35 and 297,869.30

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Solution

The fourth proportional to 465,830.90, 698,746.35 and 297,869.30 is: 446,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,830.90 : 698,746.35 = 297,869.30 : x
  2. Step 2: Convert to fraction form
    465,830.90/698,746.35 = 297,869.30/x
  3. Step 3: Cross multiply
    465,830.90x = 698,746.35 × 297,869.30
  4. Step 4: Simplify right side
    465,830.90x = 208,135,086,152.06
  5. Step 5: Solve for x
    x = 208,135,086,152.06/465,830.90
  6. Step 6: Final answer
    x = 446,803.95

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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.