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Finding the Fourth Proportional to 742,398.11, 1,024,509.39 and 402,866.36

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Solution

The fourth proportional to 742,398.11, 1,024,509.39 and 402,866.36 is: 555,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,398.11 : 1,024,509.39 = 402,866.36 : x
  2. Step 2: Convert to fraction form
    742,398.11/1,024,509.39 = 402,866.36/x
  3. Step 3: Cross multiply
    742,398.11x = 1,024,509.39 × 402,866.36
  4. Step 4: Simplify right side
    742,398.11x = 412,740,368,735.12
  5. Step 5: Solve for x
    x = 412,740,368,735.12/742,398.11
  6. Step 6: Final answer
    x = 555,955.58

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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.