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Finding the Fourth Proportional to 523,348.90, 722,180.37 and 296,994.34

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Solution

The fourth proportional to 523,348.90, 722,180.37 and 296,994.34 is: 409,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,348.90 : 722,180.37 = 296,994.34 : x
  2. Step 2: Convert to fraction form
    523,348.90/722,180.37 = 296,994.34/x
  3. Step 3: Cross multiply
    523,348.90x = 722,180.37 × 296,994.34
  4. Step 4: Simplify right side
    523,348.90x = 214,483,482,349.11
  5. Step 5: Solve for x
    x = 214,483,482,349.11/523,348.90
  6. Step 6: Final answer
    x = 409,828.86

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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.