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Finding the Fourth Proportional to 292,160.64, 403,295.04 and 171,408

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Solution

The fourth proportional to 292,160.64, 403,295.04 and 171,408 is: 236,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,160.64 : 403,295.04 = 171,408 : x
  2. Step 2: Convert to fraction form
    292,160.64/403,295.04 = 171,408/x
  3. Step 3: Cross multiply
    292,160.64x = 403,295.04 × 171,408
  4. Step 4: Simplify right side
    292,160.64x = 69,127,996,216.32
  5. Step 5: Solve for x
    x = 69,127,996,216.32/292,160.64
  6. Step 6: Final answer
    x = 236,609.55

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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.