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Finding the Fourth Proportional to 288,433.34, 432,921.36 and 146,380.58

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Solution

The fourth proportional to 288,433.34, 432,921.36 and 146,380.58 is: 219,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,433.34 : 432,921.36 = 146,380.58 : x
  2. Step 2: Convert to fraction form
    288,433.34/432,921.36 = 146,380.58/x
  3. Step 3: Cross multiply
    288,433.34x = 432,921.36 × 146,380.58
  4. Step 4: Simplify right side
    288,433.34x = 63,371,279,771.19
  5. Step 5: Solve for x
    x = 63,371,279,771.19/288,433.34
  6. Step 6: Final answer
    x = 219,708.58

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