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Finding the Fourth Proportional to 304,306.80, 456,460.20 and 209,828.40

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Solution

The fourth proportional to 304,306.80, 456,460.20 and 209,828.40 is: 314,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,306.80 : 456,460.20 = 209,828.40 : x
  2. Step 2: Convert to fraction form
    304,306.80/456,460.20 = 209,828.40/x
  3. Step 3: Cross multiply
    304,306.80x = 456,460.20 × 209,828.40
  4. Step 4: Simplify right side
    304,306.80x = 95,778,313,429.68
  5. Step 5: Solve for x
    x = 95,778,313,429.68/304,306.80
  6. Step 6: Final answer
    x = 314,742.60

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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.