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Finding the Fourth Proportional to 253,624.65, 380,268.13 and 152,194.32

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Solution

The fourth proportional to 253,624.65, 380,268.13 and 152,194.32 is: 228,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,624.65 : 380,268.13 = 152,194.32 : x
  2. Step 2: Convert to fraction form
    253,624.65/380,268.13 = 152,194.32/x
  3. Step 3: Cross multiply
    253,624.65x = 380,268.13 × 152,194.32
  4. Step 4: Simplify right side
    253,624.65x = 57,874,649,463.02
  5. Step 5: Solve for x
    x = 57,874,649,463.02/253,624.65
  6. Step 6: Final answer
    x = 228,190.16

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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.