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Finding the Fourth Proportional to 442,004, 663,202.74 and 231,592.76

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Solution

The fourth proportional to 442,004, 663,202.74 and 231,592.76 is: 347,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,004 : 663,202.74 = 231,592.76 : x
  2. Step 2: Convert to fraction form
    442,004/663,202.74 = 231,592.76/x
  3. Step 3: Cross multiply
    442,004x = 663,202.74 × 231,592.76
  4. Step 4: Simplify right side
    442,004x = 153,592,952,996.16
  5. Step 5: Solve for x
    x = 153,592,952,996.16/442,004
  6. Step 6: Final answer
    x = 347,492.22

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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.