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Finding the Fourth Proportional to 692,232, 1,038,460.32 and 271,279.68

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Solution

The fourth proportional to 692,232, 1,038,460.32 and 271,279.68 is: 406,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,232 : 1,038,460.32 = 271,279.68 : x
  2. Step 2: Convert to fraction form
    692,232/1,038,460.32 = 271,279.68/x
  3. Step 3: Cross multiply
    692,232x = 1,038,460.32 × 271,279.68
  4. Step 4: Simplify right side
    692,232x = 281,713,183,302.30
  5. Step 5: Solve for x
    x = 281,713,183,302.30/692,232
  6. Step 6: Final answer
    x = 406,963.54

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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.