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Finding the Fourth Proportional to 462,223.74, 637,871.96 and 258,283.26

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Solution

The fourth proportional to 462,223.74, 637,871.96 and 258,283.26 is: 356,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,223.74 : 637,871.96 = 258,283.26 : x
  2. Step 2: Convert to fraction form
    462,223.74/637,871.96 = 258,283.26/x
  3. Step 3: Cross multiply
    462,223.74x = 637,871.96 × 258,283.26
  4. Step 4: Simplify right side
    462,223.74x = 164,751,649,291.39
  5. Step 5: Solve for x
    x = 164,751,649,291.39/462,223.74
  6. Step 6: Final answer
    x = 356,432.69

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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.