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Finding the Fourth Proportional to 288,194.40, 432,291.60 and 148,226.40

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Solution

The fourth proportional to 288,194.40, 432,291.60 and 148,226.40 is: 222,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,194.40 : 432,291.60 = 148,226.40 : x
  2. Step 2: Convert to fraction form
    288,194.40/432,291.60 = 148,226.40/x
  3. Step 3: Cross multiply
    288,194.40x = 432,291.60 × 148,226.40
  4. Step 4: Simplify right side
    288,194.40x = 64,077,027,618.24
  5. Step 5: Solve for x
    x = 64,077,027,618.24/288,194.40
  6. Step 6: Final answer
    x = 222,339.60

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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.