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Finding the Fourth Proportional to 523,974.96, 785,931.66 and 144,886.59

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Solution

The fourth proportional to 523,974.96, 785,931.66 and 144,886.59 is: 217,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,974.96 : 785,931.66 = 144,886.59 : x
  2. Step 2: Convert to fraction form
    523,974.96/785,931.66 = 144,886.59/x
  3. Step 3: Cross multiply
    523,974.96x = 785,931.66 × 144,886.59
  4. Step 4: Simplify right side
    523,974.96x = 113,870,958,190.44
  5. Step 5: Solve for x
    x = 113,870,958,190.44/523,974.96
  6. Step 6: Final answer
    x = 217,321.37

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Double scale
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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.