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Finding the Fourth Proportional to 349,205.60, 523,462.80 and 171,567.20

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Solution

The fourth proportional to 349,205.60, 523,462.80 and 171,567.20 is: 257,181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,205.60 : 523,462.80 = 171,567.20 : x
  2. Step 2: Convert to fraction form
    349,205.60/523,462.80 = 171,567.20/x
  3. Step 3: Cross multiply
    349,205.60x = 523,462.80 × 171,567.20
  4. Step 4: Simplify right side
    349,205.60x = 89,809,046,900.16
  5. Step 5: Solve for x
    x = 89,809,046,900.16/349,205.60
  6. Step 6: Final answer
    x = 257,181.00

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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.