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Finding the Fourth Proportional to 421,281.31, 631,859.65 and 154,979.54

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Solution

The fourth proportional to 421,281.31, 631,859.65 and 154,979.54 is: 232,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,281.31 : 631,859.65 = 154,979.54 : x
  2. Step 2: Convert to fraction form
    421,281.31/631,859.65 = 154,979.54/x
  3. Step 3: Cross multiply
    421,281.31x = 631,859.65 × 154,979.54
  4. Step 4: Simplify right side
    421,281.31x = 97,925,317,901.56
  5. Step 5: Solve for x
    x = 97,925,317,901.56/421,281.31
  6. Step 6: Final answer
    x = 232,446.39

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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.