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Finding the Fourth Proportional to 456,445.85, 684,705.78 and 156,926.67

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Solution

The fourth proportional to 456,445.85, 684,705.78 and 156,926.67 is: 235,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,445.85 : 684,705.78 = 156,926.67 : x
  2. Step 2: Convert to fraction form
    456,445.85/684,705.78 = 156,926.67/x
  3. Step 3: Cross multiply
    456,445.85x = 684,705.78 × 156,926.67
  4. Step 4: Simplify right side
    456,445.85x = 107,448,597,985.15
  5. Step 5: Solve for x
    x = 107,448,597,985.15/456,445.85
  6. Step 6: Final answer
    x = 235,402.73

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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.