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Finding the Fourth Proportional to 383,624.40, 575,206.20 and 197,000.40

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Solution

The fourth proportional to 383,624.40, 575,206.20 and 197,000.40 is: 295,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,624.40 : 575,206.20 = 197,000.40 : x
  2. Step 2: Convert to fraction form
    383,624.40/575,206.20 = 197,000.40/x
  3. Step 3: Cross multiply
    383,624.40x = 575,206.20 × 197,000.40
  4. Step 4: Simplify right side
    383,624.40x = 113,315,851,482.48
  5. Step 5: Solve for x
    x = 113,315,851,482.48/383,624.40
  6. Step 6: Final answer
    x = 295,382.28

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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.