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Finding the Fourth Proportional to 463,130.64, 639,075.90 and 259,171.02

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Solution

The fourth proportional to 463,130.64, 639,075.90 and 259,171.02 is: 357,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,130.64 : 639,075.90 = 259,171.02 : x
  2. Step 2: Convert to fraction form
    463,130.64/639,075.90 = 259,171.02/x
  3. Step 3: Cross multiply
    463,130.64x = 639,075.90 × 259,171.02
  4. Step 4: Simplify right side
    463,130.64x = 165,629,952,860.42
  5. Step 5: Solve for x
    x = 165,629,952,860.42/463,130.64
  6. Step 6: Final answer
    x = 357,631.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.