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Finding the Fourth Proportional to 288,014.20, 432,021.30 and 146,296.60

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Solution

The fourth proportional to 288,014.20, 432,021.30 and 146,296.60 is: 219,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,014.20 : 432,021.30 = 146,296.60 : x
  2. Step 2: Convert to fraction form
    288,014.20/432,021.30 = 146,296.60/x
  3. Step 3: Cross multiply
    288,014.20x = 432,021.30 × 146,296.60
  4. Step 4: Simplify right side
    288,014.20x = 63,203,247,317.58
  5. Step 5: Solve for x
    x = 63,203,247,317.58/288,014.20
  6. Step 6: Final answer
    x = 219,444.90

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1.5x scale

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.