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Finding the Fourth Proportional to 300,569.23, 414,714.37 and 177,999.71

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Solution

The fourth proportional to 300,569.23, 414,714.37 and 177,999.71 is: 245,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,569.23 : 414,714.37 = 177,999.71 : x
  2. Step 2: Convert to fraction form
    300,569.23/414,714.37 = 177,999.71/x
  3. Step 3: Cross multiply
    300,569.23x = 414,714.37 × 177,999.71
  4. Step 4: Simplify right side
    300,569.23x = 73,819,037,592.83
  5. Step 5: Solve for x
    x = 73,819,037,592.83/300,569.23
  6. Step 6: Final answer
    x = 245,597.45

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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.