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Finding the Fourth Proportional to 314,152.43, 470,991.31 and 156,492.41

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Solution

The fourth proportional to 314,152.43, 470,991.31 and 156,492.41 is: 234,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,152.43 : 470,991.31 = 156,492.41 : x
  2. Step 2: Convert to fraction form
    314,152.43/470,991.31 = 156,492.41/x
  3. Step 3: Cross multiply
    314,152.43x = 470,991.31 × 156,492.41
  4. Step 4: Simplify right side
    314,152.43x = 73,706,562,444.77
  5. Step 5: Solve for x
    x = 73,706,562,444.77/314,152.43
  6. Step 6: Final answer
    x = 234,620.38

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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.