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Finding the Fourth Proportional to 416,077.55, 574,185.75 and 225,090.89

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Solution

The fourth proportional to 416,077.55, 574,185.75 and 225,090.89 is: 310,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,077.55 : 574,185.75 = 225,090.89 : x
  2. Step 2: Convert to fraction form
    416,077.55/574,185.75 = 225,090.89/x
  3. Step 3: Cross multiply
    416,077.55x = 574,185.75 × 225,090.89
  4. Step 4: Simplify right side
    416,077.55x = 129,243,981,492.82
  5. Step 5: Solve for x
    x = 129,243,981,492.82/416,077.55
  6. Step 6: Final answer
    x = 310,624.74

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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.