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Finding the Fourth Proportional to 292,477.95, 403,627.86 and 165,172.68

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Solution

The fourth proportional to 292,477.95, 403,627.86 and 165,172.68 is: 227,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,477.95 : 403,627.86 = 165,172.68 : x
  2. Step 2: Convert to fraction form
    292,477.95/403,627.86 = 165,172.68/x
  3. Step 3: Cross multiply
    292,477.95x = 403,627.86 × 165,172.68
  4. Step 4: Simplify right side
    292,477.95x = 66,668,295,358.86
  5. Step 5: Solve for x
    x = 66,668,295,358.86/292,477.95
  6. Step 6: Final answer
    x = 227,942.98

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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.