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Finding the Fourth Proportional to 473,023.76, 653,315.82 and 344,534.68

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Solution

The fourth proportional to 473,023.76, 653,315.82 and 344,534.68 is: 475,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,023.76 : 653,315.82 = 344,534.68 : x
  2. Step 2: Convert to fraction form
    473,023.76/653,315.82 = 344,534.68/x
  3. Step 3: Cross multiply
    473,023.76x = 653,315.82 × 344,534.68
  4. Step 4: Simplify right side
    473,023.76x = 225,089,954,057.34
  5. Step 5: Solve for x
    x = 225,089,954,057.34/473,023.76
  6. Step 6: Final answer
    x = 475,853.38

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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.