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Finding the Fourth Proportional to 304,726.32, 420,573.60 and 177,477.48

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Solution

The fourth proportional to 304,726.32, 420,573.60 and 177,477.48 is: 244,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,726.32 : 420,573.60 = 177,477.48 : x
  2. Step 2: Convert to fraction form
    304,726.32/420,573.60 = 177,477.48/x
  3. Step 3: Cross multiply
    304,726.32x = 420,573.60 × 177,477.48
  4. Step 4: Simplify right side
    304,726.32x = 74,642,342,682.53
  5. Step 5: Solve for x
    x = 74,642,342,682.53/304,726.32
  6. Step 6: Final answer
    x = 244,948.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.