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Finding the Fourth Proportional to 463,000.55, 697,971.11 and 432,138.24

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Solution

The fourth proportional to 463,000.55, 697,971.11 and 432,138.24 is: 651,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,000.55 : 697,971.11 = 432,138.24 : x
  2. Step 2: Convert to fraction form
    463,000.55/697,971.11 = 432,138.24/x
  3. Step 3: Cross multiply
    463,000.55x = 697,971.11 × 432,138.24
  4. Step 4: Simplify right side
    463,000.55x = 301,620,004,885.56
  5. Step 5: Solve for x
    x = 301,620,004,885.56/463,000.55
  6. Step 6: Final answer
    x = 651,446.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.