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Finding the Fourth Proportional to 466,297.94, 699,446.70 and 209,830.74

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Solution

The fourth proportional to 466,297.94, 699,446.70 and 209,830.74 is: 314,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,297.94 : 699,446.70 = 209,830.74 : x
  2. Step 2: Convert to fraction form
    466,297.94/699,446.70 = 209,830.74/x
  3. Step 3: Cross multiply
    466,297.94x = 699,446.70 × 209,830.74
  4. Step 4: Simplify right side
    466,297.94x = 146,765,416,028.63
  5. Step 5: Solve for x
    x = 146,765,416,028.63/466,297.94
  6. Step 6: Final answer
    x = 314,746.01

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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.