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Finding the Fourth Proportional to 405,562.14, 608,248.85 and 152,868.06

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Solution

The fourth proportional to 405,562.14, 608,248.85 and 152,868.06 is: 229,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,562.14 : 608,248.85 = 152,868.06 : x
  2. Step 2: Convert to fraction form
    405,562.14/608,248.85 = 152,868.06/x
  3. Step 3: Cross multiply
    405,562.14x = 608,248.85 × 152,868.06
  4. Step 4: Simplify right side
    405,562.14x = 92,981,820,932.39
  5. Step 5: Solve for x
    x = 92,981,820,932.39/405,562.14
  6. Step 6: Final answer
    x = 229,266.52

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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.