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Finding the Fourth Proportional to 473,735.22, 653,763.16 and 258,884.34

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Solution

The fourth proportional to 473,735.22, 653,763.16 and 258,884.34 is: 357,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,735.22 : 653,763.16 = 258,884.34 : x
  2. Step 2: Convert to fraction form
    473,735.22/653,763.16 = 258,884.34/x
  3. Step 3: Cross multiply
    473,735.22x = 653,763.16 × 258,884.34
  4. Step 4: Simplify right side
    473,735.22x = 169,249,042,898.49
  5. Step 5: Solve for x
    x = 169,249,042,898.49/473,735.22
  6. Step 6: Final answer
    x = 357,265.06

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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.