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Finding the Fourth Proportional to 292,595.42, 403,814.52 and 165,279.22

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Solution

The fourth proportional to 292,595.42, 403,814.52 and 165,279.22 is: 228,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,595.42 : 403,814.52 = 165,279.22 : x
  2. Step 2: Convert to fraction form
    292,595.42/403,814.52 = 165,279.22/x
  3. Step 3: Cross multiply
    292,595.42x = 403,814.52 × 165,279.22
  4. Step 4: Simplify right side
    292,595.42x = 66,742,146,458.00
  5. Step 5: Solve for x
    x = 66,742,146,458.00/292,595.42
  6. Step 6: Final answer
    x = 228,103.87

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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.