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Finding the Fourth Proportional to 467,528, 701,384.16 and 151,992.64

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Solution

The fourth proportional to 467,528, 701,384.16 and 151,992.64 is: 228,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,528 : 701,384.16 = 151,992.64 : x
  2. Step 2: Convert to fraction form
    467,528/701,384.16 = 151,992.64/x
  3. Step 3: Cross multiply
    467,528x = 701,384.16 × 151,992.64
  4. Step 4: Simplify right side
    467,528x = 106,605,230,132.58
  5. Step 5: Solve for x
    x = 106,605,230,132.58/467,528
  6. Step 6: Final answer
    x = 228,018.92

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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.