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Finding the Fourth Proportional to 314,341.60, 471,626.48 and 194,258.60

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Solution

The fourth proportional to 314,341.60, 471,626.48 and 194,258.60 is: 291,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,341.60 : 471,626.48 = 194,258.60 : x
  2. Step 2: Convert to fraction form
    314,341.60/471,626.48 = 194,258.60/x
  3. Step 3: Cross multiply
    314,341.60x = 471,626.48 × 194,258.60
  4. Step 4: Simplify right side
    314,341.60x = 91,617,499,727.73
  5. Step 5: Solve for x
    x = 91,617,499,727.73/314,341.60
  6. Step 6: Final answer
    x = 291,458.40

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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.