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Finding the Fourth Proportional to 292,524, 403,683.12 and 158,388

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Solution

The fourth proportional to 292,524, 403,683.12 and 158,388 is: 218,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,524 : 403,683.12 = 158,388 : x
  2. Step 2: Convert to fraction form
    292,524/403,683.12 = 158,388/x
  3. Step 3: Cross multiply
    292,524x = 403,683.12 × 158,388
  4. Step 4: Simplify right side
    292,524x = 63,938,562,010.56
  5. Step 5: Solve for x
    x = 63,938,562,010.56/292,524
  6. Step 6: Final answer
    x = 218,575.44

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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.