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Finding the Fourth Proportional to 292,227.60, 438,341.40 and 233,178.60

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Solution

The fourth proportional to 292,227.60, 438,341.40 and 233,178.60 is: 349,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,227.60 : 438,341.40 = 233,178.60 : x
  2. Step 2: Convert to fraction form
    292,227.60/438,341.40 = 233,178.60/x
  3. Step 3: Cross multiply
    292,227.60x = 438,341.40 × 233,178.60
  4. Step 4: Simplify right side
    292,227.60x = 102,211,833,974.04
  5. Step 5: Solve for x
    x = 102,211,833,974.04/292,227.60
  6. Step 6: Final answer
    x = 349,767.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.