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Finding the Fourth Proportional to 304,641.92, 456,688.20 and 144,619.04

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Solution

The fourth proportional to 304,641.92, 456,688.20 and 144,619.04 is: 216,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,641.92 : 456,688.20 = 144,619.04 : x
  2. Step 2: Convert to fraction form
    304,641.92/456,688.20 = 144,619.04/x
  3. Step 3: Cross multiply
    304,641.92x = 456,688.20 × 144,619.04
  4. Step 4: Simplify right side
    304,641.92x = 66,045,809,063.33
  5. Step 5: Solve for x
    x = 66,045,809,063.33/304,641.92
  6. Step 6: Final answer
    x = 216,798.16

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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.