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Finding the Fourth Proportional to 523,560.24, 785,340.27 and 149,583.24

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Solution

The fourth proportional to 523,560.24, 785,340.27 and 149,583.24 is: 224,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,560.24 : 785,340.27 = 149,583.24 : x
  2. Step 2: Convert to fraction form
    523,560.24/785,340.27 = 149,583.24/x
  3. Step 3: Cross multiply
    523,560.24x = 785,340.27 × 149,583.24
  4. Step 4: Simplify right side
    523,560.24x = 117,473,742,089.08
  5. Step 5: Solve for x
    x = 117,473,742,089.08/523,560.24
  6. Step 6: Final answer
    x = 224,374.83

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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.