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Finding the Fourth Proportional to 320,463.52, 480,931.43 and 151,984.33

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Solution

The fourth proportional to 320,463.52, 480,931.43 and 151,984.33 is: 228,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,463.52 : 480,931.43 = 151,984.33 : x
  2. Step 2: Convert to fraction form
    320,463.52/480,931.43 = 151,984.33/x
  3. Step 3: Cross multiply
    320,463.52x = 480,931.43 × 151,984.33
  4. Step 4: Simplify right side
    320,463.52x = 73,094,039,202.24
  5. Step 5: Solve for x
    x = 73,094,039,202.24/320,463.52
  6. Step 6: Final answer
    x = 228,088.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.