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Finding the Fourth Proportional to 416,393.40, 624,207.39 and 150,088.74

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Solution

The fourth proportional to 416,393.40, 624,207.39 and 150,088.74 is: 224,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,393.40 : 624,207.39 = 150,088.74 : x
  2. Step 2: Convert to fraction form
    416,393.40/624,207.39 = 150,088.74/x
  3. Step 3: Cross multiply
    416,393.40x = 624,207.39 × 150,088.74
  4. Step 4: Simplify right side
    416,393.40x = 93,686,500,663.79
  5. Step 5: Solve for x
    x = 93,686,500,663.79/416,393.40
  6. Step 6: Final answer
    x = 224,995.16

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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.