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Finding the Fourth Proportional to 305,667.66, 458,440.68 and 153,824.22

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Solution

The fourth proportional to 305,667.66, 458,440.68 and 153,824.22 is: 230,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,667.66 : 458,440.68 = 153,824.22 : x
  2. Step 2: Convert to fraction form
    305,667.66/458,440.68 = 153,824.22/x
  3. Step 3: Cross multiply
    305,667.66x = 458,440.68 × 153,824.22
  4. Step 4: Simplify right side
    305,667.66x = 70,519,280,017.27
  5. Step 5: Solve for x
    x = 70,519,280,017.27/305,667.66
  6. Step 6: Final answer
    x = 230,705.73

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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.