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Finding the Fourth Proportional to 467,784, 701,325.60 and 152,052.48

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Solution

The fourth proportional to 467,784, 701,325.60 and 152,052.48 is: 227,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,784 : 701,325.60 = 152,052.48 : x
  2. Step 2: Convert to fraction form
    467,784/701,325.60 = 152,052.48/x
  3. Step 3: Cross multiply
    467,784x = 701,325.60 × 152,052.48
  4. Step 4: Simplify right side
    467,784x = 106,638,296,767.49
  5. Step 5: Solve for x
    x = 106,638,296,767.49/467,784
  6. Step 6: Final answer
    x = 227,964.82

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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.