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Finding the Fourth Proportional to 314,115.50, 471,324.45 and 156,357.74

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Solution

The fourth proportional to 314,115.50, 471,324.45 and 156,357.74 is: 234,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,115.50 : 471,324.45 = 156,357.74 : x
  2. Step 2: Convert to fraction form
    314,115.50/471,324.45 = 156,357.74/x
  3. Step 3: Cross multiply
    314,115.50x = 471,324.45 × 156,357.74
  4. Step 4: Simplify right side
    314,115.50x = 73,695,225,808.74
  5. Step 5: Solve for x
    x = 73,695,225,808.74/314,115.50
  6. Step 6: Final answer
    x = 234,611.87

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1.5x scale

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.