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Finding the Fourth Proportional to 538,097.54, 742,546.53 and 334,144.07

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Solution

The fourth proportional to 538,097.54, 742,546.53 and 334,144.07 is: 461,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,097.54 : 742,546.53 = 334,144.07 : x
  2. Step 2: Convert to fraction form
    538,097.54/742,546.53 = 334,144.07/x
  3. Step 3: Cross multiply
    538,097.54x = 742,546.53 × 334,144.07
  4. Step 4: Simplify right side
    538,097.54x = 248,117,519,698.58
  5. Step 5: Solve for x
    x = 248,117,519,698.58/538,097.54
  6. Step 6: Final answer
    x = 461,101.38

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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.