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Finding the Fourth Proportional to 304,032.30, 456,048.45 and 82,416.30

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Solution

The fourth proportional to 304,032.30, 456,048.45 and 82,416.30 is: 123,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,032.30 : 456,048.45 = 82,416.30 : x
  2. Step 2: Convert to fraction form
    304,032.30/456,048.45 = 82,416.30/x
  3. Step 3: Cross multiply
    304,032.30x = 456,048.45 × 82,416.30
  4. Step 4: Simplify right side
    304,032.30x = 37,585,825,869.74
  5. Step 5: Solve for x
    x = 37,585,825,869.74/304,032.30
  6. Step 6: Final answer
    x = 123,624.45

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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.