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Finding the Fourth Proportional to 320,488.06, 480,591.84 and 152,056.41

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Solution

The fourth proportional to 320,488.06, 480,591.84 and 152,056.41 is: 228,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,488.06 : 480,591.84 = 152,056.41 : x
  2. Step 2: Convert to fraction form
    320,488.06/480,591.84 = 152,056.41/x
  3. Step 3: Cross multiply
    320,488.06x = 480,591.84 × 152,056.41
  4. Step 4: Simplify right side
    320,488.06x = 73,077,069,865.69
  5. Step 5: Solve for x
    x = 73,077,069,865.69/320,488.06
  6. Step 6: Final answer
    x = 228,018.07

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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.