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Finding the Fourth Proportional to 292,266.30, 403,332.87 and 164,917.32

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Solution

The fourth proportional to 292,266.30, 403,332.87 and 164,917.32 is: 227,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,266.30 : 403,332.87 = 164,917.32 : x
  2. Step 2: Convert to fraction form
    292,266.30/403,332.87 = 164,917.32/x
  3. Step 3: Cross multiply
    292,266.30x = 403,332.87 × 164,917.32
  4. Step 4: Simplify right side
    292,266.30x = 66,516,575,988.31
  5. Step 5: Solve for x
    x = 66,516,575,988.31/292,266.30
  6. Step 6: Final answer
    x = 227,588.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.