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Finding the Fourth Proportional to 538,090.74, 742,850.19 and 416,960.10

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Solution

The fourth proportional to 538,090.74, 742,850.19 and 416,960.10 is: 575,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,090.74 : 742,850.19 = 416,960.10 : x
  2. Step 2: Convert to fraction form
    538,090.74/742,850.19 = 416,960.10/x
  3. Step 3: Cross multiply
    538,090.74x = 742,850.19 × 416,960.10
  4. Step 4: Simplify right side
    538,090.74x = 309,738,889,507.42
  5. Step 5: Solve for x
    x = 309,738,889,507.42/538,090.74
  6. Step 6: Final answer
    x = 575,625.76

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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.