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Finding the Fourth Proportional to 538,343.56, 742,966.45 and 402,141.04

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Solution

The fourth proportional to 538,343.56, 742,966.45 and 402,141.04 is: 554,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,343.56 : 742,966.45 = 402,141.04 : x
  2. Step 2: Convert to fraction form
    538,343.56/742,966.45 = 402,141.04/x
  3. Step 3: Cross multiply
    538,343.56x = 742,966.45 × 402,141.04
  4. Step 4: Simplify right side
    538,343.56x = 298,777,300,287.38
  5. Step 5: Solve for x
    x = 298,777,300,287.38/538,343.56
  6. Step 6: Final answer
    x = 554,993.73

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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.