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Finding the Fourth Proportional to 538,047.28, 742,476.54 and 308,592.64

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Solution

The fourth proportional to 538,047.28, 742,476.54 and 308,592.64 is: 425,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,047.28 : 742,476.54 = 308,592.64 : x
  2. Step 2: Convert to fraction form
    538,047.28/742,476.54 = 308,592.64/x
  3. Step 3: Cross multiply
    538,047.28x = 742,476.54 × 308,592.64
  4. Step 4: Simplify right side
    538,047.28x = 229,122,795,616.67
  5. Step 5: Solve for x
    x = 229,122,795,616.67/538,047.28
  6. Step 6: Final answer
    x = 425,841.38

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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.