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Finding the Fourth Proportional to 463,004.55, 697,977.14 and 432,142.24

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Solution

The fourth proportional to 463,004.55, 697,977.14 and 432,142.24 is: 651,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,004.55 : 697,977.14 = 432,142.24 : x
  2. Step 2: Convert to fraction form
    463,004.55/697,977.14 = 432,142.24/x
  3. Step 3: Cross multiply
    463,004.55x = 697,977.14 × 432,142.24
  4. Step 4: Simplify right side
    463,004.55x = 301,625,404,748.39
  5. Step 5: Solve for x
    x = 301,625,404,748.39/463,004.55
  6. Step 6: Final answer
    x = 651,452.36

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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.