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Finding the Fourth Proportional to 292,697.64, 403,959.87 and 165,370.50

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Solution

The fourth proportional to 292,697.64, 403,959.87 and 165,370.50 is: 228,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,697.64 : 403,959.87 = 165,370.50 : x
  2. Step 2: Convert to fraction form
    292,697.64/403,959.87 = 165,370.50/x
  3. Step 3: Cross multiply
    292,697.64x = 403,959.87 × 165,370.50
  4. Step 4: Simplify right side
    292,697.64x = 66,803,045,681.84
  5. Step 5: Solve for x
    x = 66,803,045,681.84/292,697.64
  6. Step 6: Final answer
    x = 228,232.27

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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.