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Finding the Fourth Proportional to 467,858, 701,859.90 and 152,240.42

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Solution

The fourth proportional to 467,858, 701,859.90 and 152,240.42 is: 228,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,858 : 701,859.90 = 152,240.42 : x
  2. Step 2: Convert to fraction form
    467,858/701,859.90 = 152,240.42/x
  3. Step 3: Cross multiply
    467,858x = 701,859.90 × 152,240.42
  4. Step 4: Simplify right side
    467,858x = 106,851,445,957.16
  5. Step 5: Solve for x
    x = 106,851,445,957.16/467,858
  6. Step 6: Final answer
    x = 228,384.35

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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.