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Finding the Fourth Proportional to 320,239.17, 480,341.44 and 162,463.52

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Solution

The fourth proportional to 320,239.17, 480,341.44 and 162,463.52 is: 243,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,239.17 : 480,341.44 = 162,463.52 : x
  2. Step 2: Convert to fraction form
    320,239.17/480,341.44 = 162,463.52/x
  3. Step 3: Cross multiply
    320,239.17x = 480,341.44 × 162,463.52
  4. Step 4: Simplify right side
    320,239.17x = 78,037,962,548.20
  5. Step 5: Solve for x
    x = 78,037,962,548.20/320,239.17
  6. Step 6: Final answer
    x = 243,686.50

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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.