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Finding the Fourth Proportional to 338,152.96, 507,307.20 and 101,500.12

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Solution

The fourth proportional to 338,152.96, 507,307.20 and 101,500.12 is: 152,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,152.96 : 507,307.20 = 101,500.12 : x
  2. Step 2: Convert to fraction form
    338,152.96/507,307.20 = 101,500.12/x
  3. Step 3: Cross multiply
    338,152.96x = 507,307.20 × 101,500.12
  4. Step 4: Simplify right side
    338,152.96x = 51,491,741,676.86
  5. Step 5: Solve for x
    x = 51,491,741,676.86/338,152.96
  6. Step 6: Final answer
    x = 152,273.52

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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.