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Finding the Fourth Proportional to 473,444, 653,352.69 and 258,584.57

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Solution

The fourth proportional to 473,444, 653,352.69 and 258,584.57 is: 356,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,444 : 653,352.69 = 258,584.57 : x
  2. Step 2: Convert to fraction form
    473,444/653,352.69 = 258,584.57/x
  3. Step 3: Cross multiply
    473,444x = 653,352.69 × 258,584.57
  4. Step 4: Simplify right side
    473,444x = 168,946,924,401.99
  5. Step 5: Solve for x
    x = 168,946,924,401.99/473,444
  6. Step 6: Final answer
    x = 356,846.69

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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.