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Finding the Fourth Proportional to 228,608.64, 315,589.32 and 152,254.80

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Solution

The fourth proportional to 228,608.64, 315,589.32 and 152,254.80 is: 210,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,608.64 : 315,589.32 = 152,254.80 : x
  2. Step 2: Convert to fraction form
    228,608.64/315,589.32 = 152,254.80/x
  3. Step 3: Cross multiply
    228,608.64x = 315,589.32 × 152,254.80
  4. Step 4: Simplify right side
    228,608.64x = 48,049,988,798.74
  5. Step 5: Solve for x
    x = 48,049,988,798.74/228,608.64
  6. Step 6: Final answer
    x = 210,184.48

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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.