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Finding the Fourth Proportional to 292,595.63, 403,814.84 and 165,279.42

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Solution

The fourth proportional to 292,595.63, 403,814.84 and 165,279.42 is: 228,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,595.63 : 403,814.84 = 165,279.42 : x
  2. Step 2: Convert to fraction form
    292,595.63/403,814.84 = 165,279.42/x
  3. Step 3: Cross multiply
    292,595.63x = 403,814.84 × 165,279.42
  4. Step 4: Simplify right side
    292,595.63x = 66,742,281,716.20
  5. Step 5: Solve for x
    x = 66,742,281,716.20/292,595.63
  6. Step 6: Final answer
    x = 228,104.17

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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.