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Finding the Fourth Proportional to 292,427.52, 403,568.64 and 165,056.64

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Solution

The fourth proportional to 292,427.52, 403,568.64 and 165,056.64 is: 227,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,427.52 : 403,568.64 = 165,056.64 : x
  2. Step 2: Convert to fraction form
    292,427.52/403,568.64 = 165,056.64/x
  3. Step 3: Cross multiply
    292,427.52x = 403,568.64 × 165,056.64
  4. Step 4: Simplify right side
    292,427.52x = 66,611,683,727.77
  5. Step 5: Solve for x
    x = 66,611,683,727.77/292,427.52
  6. Step 6: Final answer
    x = 227,788.70

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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.