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Finding the Fourth Proportional to 304,438.20, 456,657.30 and 164,470.20

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Solution

The fourth proportional to 304,438.20, 456,657.30 and 164,470.20 is: 246,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,438.20 : 456,657.30 = 164,470.20 : x
  2. Step 2: Convert to fraction form
    304,438.20/456,657.30 = 164,470.20/x
  3. Step 3: Cross multiply
    304,438.20x = 456,657.30 × 164,470.20
  4. Step 4: Simplify right side
    304,438.20x = 75,106,517,462.46
  5. Step 5: Solve for x
    x = 75,106,517,462.46/304,438.20
  6. Step 6: Final answer
    x = 246,705.30

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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.