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Finding the Fourth Proportional to 306,191.41, 459,297.47 and 106,513.52

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Solution

The fourth proportional to 306,191.41, 459,297.47 and 106,513.52 is: 159,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,191.41 : 459,297.47 = 106,513.52 : x
  2. Step 2: Convert to fraction form
    306,191.41/459,297.47 = 106,513.52/x
  3. Step 3: Cross multiply
    306,191.41x = 459,297.47 × 106,513.52
  4. Step 4: Simplify right side
    306,191.41x = 48,921,391,671.32
  5. Step 5: Solve for x
    x = 48,921,391,671.32/306,191.41
  6. Step 6: Final answer
    x = 159,773.89

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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.