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Finding the Fourth Proportional to 538,736.14, 742,683.12 and 423,815.05

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Solution

The fourth proportional to 538,736.14, 742,683.12 and 423,815.05 is: 584,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,736.14 : 742,683.12 = 423,815.05 : x
  2. Step 2: Convert to fraction form
    538,736.14/742,683.12 = 423,815.05/x
  3. Step 3: Cross multiply
    538,736.14x = 742,683.12 × 423,815.05
  4. Step 4: Simplify right side
    538,736.14x = 314,760,281,928.78
  5. Step 5: Solve for x
    x = 314,760,281,928.78/538,736.14
  6. Step 6: Final answer
    x = 584,256.85

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