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Finding the Fourth Proportional to 537,855, 742,442.94 and 422,833.56

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Solution

The fourth proportional to 537,855, 742,442.94 and 422,833.56 is: 583,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,855 : 742,442.94 = 422,833.56 : x
  2. Step 2: Convert to fraction form
    537,855/742,442.94 = 422,833.56/x
  3. Step 3: Cross multiply
    537,855x = 742,442.94 × 422,833.56
  4. Step 4: Simplify right side
    537,855x = 313,929,791,417.07
  5. Step 5: Solve for x
    x = 313,929,791,417.07/537,855
  6. Step 6: Final answer
    x = 583,669.93

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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.