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Finding the Fourth Proportional to 405,446.65, 608,472.92 and 152,976.13

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Solution

The fourth proportional to 405,446.65, 608,472.92 and 152,976.13 is: 229,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,446.65 : 608,472.92 = 152,976.13 : x
  2. Step 2: Convert to fraction form
    405,446.65/608,472.92 = 152,976.13/x
  3. Step 3: Cross multiply
    405,446.65x = 608,472.92 × 152,976.13
  4. Step 4: Simplify right side
    405,446.65x = 93,081,832,511.40
  5. Step 5: Solve for x
    x = 93,081,832,511.40/405,446.65
  6. Step 6: Final answer
    x = 229,578.50

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1.5x scale

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.