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Finding the Fourth Proportional to 320,492.56, 480,598.59 and 152,060.92

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Solution

The fourth proportional to 320,492.56, 480,598.59 and 152,060.92 is: 228,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,492.56 : 480,598.59 = 152,060.92 : x
  2. Step 2: Convert to fraction form
    320,492.56/480,598.59 = 152,060.92/x
  3. Step 3: Cross multiply
    320,492.56x = 480,598.59 × 152,060.92
  4. Step 4: Simplify right side
    320,492.56x = 73,080,263,746.10
  5. Step 5: Solve for x
    x = 73,080,263,746.10/320,492.56
  6. Step 6: Final answer
    x = 228,024.84

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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.