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Finding the Fourth Proportional to 354,437.60, 489,112.92 and 201,492.48

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Solution

The fourth proportional to 354,437.60, 489,112.92 and 201,492.48 is: 278,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,437.60 : 489,112.92 = 201,492.48 : x
  2. Step 2: Convert to fraction form
    354,437.60/489,112.92 = 201,492.48/x
  3. Step 3: Cross multiply
    354,437.60x = 489,112.92 × 201,492.48
  4. Step 4: Simplify right side
    354,437.60x = 98,552,575,250.84
  5. Step 5: Solve for x
    x = 98,552,575,250.84/354,437.60
  6. Step 6: Final answer
    x = 278,053.39

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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.