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Finding the Fourth Proportional to 383,133.40, 574,700.10 and 149,661.40

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Solution

The fourth proportional to 383,133.40, 574,700.10 and 149,661.40 is: 224,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,133.40 : 574,700.10 = 149,661.40 : x
  2. Step 2: Convert to fraction form
    383,133.40/574,700.10 = 149,661.40/x
  3. Step 3: Cross multiply
    383,133.40x = 574,700.10 × 149,661.40
  4. Step 4: Simplify right side
    383,133.40x = 86,010,421,546.14
  5. Step 5: Solve for x
    x = 86,010,421,546.14/383,133.40
  6. Step 6: Final answer
    x = 224,492.10

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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.