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Finding the Fourth Proportional to 320,492.06, 480,597.84 and 152,060.42

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Solution

The fourth proportional to 320,492.06, 480,597.84 and 152,060.42 is: 228,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,492.06 : 480,597.84 = 152,060.42 : x
  2. Step 2: Convert to fraction form
    320,492.06/480,597.84 = 152,060.42/x
  3. Step 3: Cross multiply
    320,492.06x = 480,597.84 × 152,060.42
  4. Step 4: Simplify right side
    320,492.06x = 73,079,909,401.49
  5. Step 5: Solve for x
    x = 73,079,909,401.49/320,492.06
  6. Step 6: Final answer
    x = 228,024.09

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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.