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Finding the Fourth Proportional to 602,564.31, 903,998.34 and 425,417.31

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Solution

The fourth proportional to 602,564.31, 903,998.34 and 425,417.31 is: 638,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,564.31 : 903,998.34 = 425,417.31 : x
  2. Step 2: Convert to fraction form
    602,564.31/903,998.34 = 425,417.31/x
  3. Step 3: Cross multiply
    602,564.31x = 903,998.34 × 425,417.31
  4. Step 4: Simplify right side
    602,564.31x = 384,576,542,047.27
  5. Step 5: Solve for x
    x = 384,576,542,047.27/602,564.31
  6. Step 6: Final answer
    x = 638,233.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.