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Finding the Fourth Proportional to 349,735.20, 524,602.80 and 97,015.20

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Solution

The fourth proportional to 349,735.20, 524,602.80 and 97,015.20 is: 145,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,735.20 : 524,602.80 = 97,015.20 : x
  2. Step 2: Convert to fraction form
    349,735.20/524,602.80 = 97,015.20/x
  3. Step 3: Cross multiply
    349,735.20x = 524,602.80 × 97,015.20
  4. Step 4: Simplify right side
    349,735.20x = 50,894,445,562.56
  5. Step 5: Solve for x
    x = 50,894,445,562.56/349,735.20
  6. Step 6: Final answer
    x = 145,522.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.