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Finding the Fourth Proportional to 463,035.70, 698,024.11 and 432,173.44

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Solution

The fourth proportional to 463,035.70, 698,024.11 and 432,173.44 is: 651,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,035.70 : 698,024.11 = 432,173.44 : x
  2. Step 2: Convert to fraction form
    463,035.70/698,024.11 = 432,173.44/x
  3. Step 3: Cross multiply
    463,035.70x = 698,024.11 × 432,173.44
  4. Step 4: Simplify right side
    463,035.70x = 301,667,480,821.64
  5. Step 5: Solve for x
    x = 301,667,480,821.64/463,035.70
  6. Step 6: Final answer
    x = 651,499.40

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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.