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Finding the Fourth Proportional to 314,464.60, 471,696.90 and 209,488.60

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Solution

The fourth proportional to 314,464.60, 471,696.90 and 209,488.60 is: 314,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,464.60 : 471,696.90 = 209,488.60 : x
  2. Step 2: Convert to fraction form
    314,464.60/471,696.90 = 209,488.60/x
  3. Step 3: Cross multiply
    314,464.60x = 471,696.90 × 209,488.60
  4. Step 4: Simplify right side
    314,464.60x = 98,815,123,205.34
  5. Step 5: Solve for x
    x = 98,815,123,205.34/314,464.60
  6. Step 6: Final answer
    x = 314,232.90

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1.5x scale

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.