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Finding the Fourth Proportional to 416,810.81, 575,199.46 and 225,824.19

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Solution

The fourth proportional to 416,810.81, 575,199.46 and 225,824.19 is: 311,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,810.81 : 575,199.46 = 225,824.19 : x
  2. Step 2: Convert to fraction form
    416,810.81/575,199.46 = 225,824.19/x
  3. Step 3: Cross multiply
    416,810.81x = 575,199.46 × 225,824.19
  4. Step 4: Simplify right side
    416,810.81x = 129,893,950,268.22
  5. Step 5: Solve for x
    x = 129,893,950,268.22/416,810.81
  6. Step 6: Final answer
    x = 311,637.67

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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.