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Finding the Fourth Proportional to 650,582.25, 898,357.55 and 409,268.67

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Solution

The fourth proportional to 650,582.25, 898,357.55 and 409,268.67 is: 565,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,582.25 : 898,357.55 = 409,268.67 : x
  2. Step 2: Convert to fraction form
    650,582.25/898,357.55 = 409,268.67/x
  3. Step 3: Cross multiply
    650,582.25x = 898,357.55 × 409,268.67
  4. Step 4: Simplify right side
    650,582.25x = 367,669,597,626.62
  5. Step 5: Solve for x
    x = 367,669,597,626.62/650,582.25
  6. Step 6: Final answer
    x = 565,139.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.