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Finding the Fourth Proportional to 473,716.20, 653,720.43 and 258,851.31

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Solution

The fourth proportional to 473,716.20, 653,720.43 and 258,851.31 is: 357,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,716.20 : 653,720.43 = 258,851.31 : x
  2. Step 2: Convert to fraction form
    473,716.20/653,720.43 = 258,851.31/x
  3. Step 3: Cross multiply
    473,716.20x = 653,720.43 × 258,851.31
  4. Step 4: Simplify right side
    473,716.20x = 169,216,389,679.26
  5. Step 5: Solve for x
    x = 169,216,389,679.26/473,716.20
  6. Step 6: Final answer
    x = 357,210.48

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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.