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Finding the Fourth Proportional to 523,535.20, 785,302.80 and 149,558.20

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Solution

The fourth proportional to 523,535.20, 785,302.80 and 149,558.20 is: 224,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,535.20 : 785,302.80 = 149,558.20 : x
  2. Step 2: Convert to fraction form
    523,535.20/785,302.80 = 149,558.20/x
  3. Step 3: Cross multiply
    523,535.20x = 785,302.80 × 149,558.20
  4. Step 4: Simplify right side
    523,535.20x = 117,448,473,222.96
  5. Step 5: Solve for x
    x = 117,448,473,222.96/523,535.20
  6. Step 6: Final answer
    x = 224,337.30

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Similar ratio
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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.