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Finding the Fourth Proportional to 473,709.16, 653,720.34 and 258,849.22

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Solution

The fourth proportional to 473,709.16, 653,720.34 and 258,849.22 is: 357,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,709.16 : 653,720.34 = 258,849.22 : x
  2. Step 2: Convert to fraction form
    473,709.16/653,720.34 = 258,849.22/x
  3. Step 3: Cross multiply
    473,709.16x = 653,720.34 × 258,849.22
  4. Step 4: Simplify right side
    473,709.16x = 169,215,000,107.14
  5. Step 5: Solve for x
    x = 169,215,000,107.14/473,709.16
  6. Step 6: Final answer
    x = 357,212.85

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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.