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Finding the Fourth Proportional to 473,709.24, 653,709.10 and 258,850.36

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Solution

The fourth proportional to 473,709.24, 653,709.10 and 258,850.36 is: 357,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,709.24 : 653,709.10 = 258,850.36 : x
  2. Step 2: Convert to fraction form
    473,709.24/653,709.10 = 258,850.36/x
  3. Step 3: Cross multiply
    473,709.24x = 653,709.10 × 258,850.36
  4. Step 4: Simplify right side
    473,709.24x = 169,212,835,870.28
  5. Step 5: Solve for x
    x = 169,212,835,870.28/473,709.24
  6. Step 6: Final answer
    x = 357,208.22

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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.