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Finding the Fourth Proportional to 433,549.92, 650,532.24 and 153,199.20

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Solution

The fourth proportional to 433,549.92, 650,532.24 and 153,199.20 is: 229,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,549.92 : 650,532.24 = 153,199.20 : x
  2. Step 2: Convert to fraction form
    433,549.92/650,532.24 = 153,199.20/x
  3. Step 3: Cross multiply
    433,549.92x = 650,532.24 × 153,199.20
  4. Step 4: Simplify right side
    433,549.92x = 99,661,018,742.21
  5. Step 5: Solve for x
    x = 99,661,018,742.21/433,549.92
  6. Step 6: Final answer
    x = 229,872.07

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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.