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Finding the Fourth Proportional to 304,810.14, 456,914 and 144,604.82

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Solution

The fourth proportional to 304,810.14, 456,914 and 144,604.82 is: 216,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,810.14 : 456,914 = 144,604.82 : x
  2. Step 2: Convert to fraction form
    304,810.14/456,914 = 144,604.82/x
  3. Step 3: Cross multiply
    304,810.14x = 456,914 × 144,604.82
  4. Step 4: Simplify right side
    304,810.14x = 66,071,966,725.48
  5. Step 5: Solve for x
    x = 66,071,966,725.48/304,810.14
  6. Step 6: Final answer
    x = 216,764.33

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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.